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Standards for: Common Core State Standards Common Core State Standards ~ Grade 7 ~ College- and Career-Readiness Standards and K-12 Mathematics ~ - Terms of Use:By using any resource from this site, you are agreeing to these Terms .
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StandardsMathematical Practices
MA.K-12.1 Make sense of problems and persevere in solving them.View Resources
MA.K-12.1.A Mathematically proficient students start by explaining to themselves the meaning of a problem andlooking for entry points to its solution. They analyze givens, constraints, relationships, and goals. Theymake conjectures about the form and meaning of the solution and plan a solution pathway rather thansimply jumping into a solution attempt. They consider analogous problems, and try special cases andsimpler forms of the original problem in order to gain insight into its solution. They monitor and evaluatetheir progress and change course if necessary. Older students might, depending on the context of theproblem, transform algebraic expressions or change the viewing window on their graphing calculator toget the information they need. Mathematically proficient students can explain correspondences betweenequations, verbal descriptions, tables, and graphs or draw diagrams of important features andrelationships, graph data, and search for regularity or trends. Younger students might rely on usingconcrete objects or pictures to help conceptualize and solve a problem. Mathematically proficientstudents check their answers to problems using a different method, and they continually askthemselves, "Does this make sense?" They can understand the approaches of others to solvingcomplex problems and identify correspondences between different approaches.
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MA.K-12.2 Reason abstractly and quantitatively.View Resources
MA.K-12.2.A Mathematically proficient students make sense of quantities and their relationships in problemsituations. They bring two complementary abilities to bear on problems involving quantitativerelationships: the ability to decontextualize-to abstract a given situation and represent it symbolicallyand manipulate the representing symbols as if they have a life of their own, without necessarilyattending to their referents-and the ability to contextualize, to pause as needed during the manipulationprocess in order to probe into the referents for the symbols involved. Quantitative reasoning entailshabits of creating a coherent representation of the problem at hand; considering the units involved;attending to the meaning of quantities, not just how to compute them; and knowing and flexibly usingdifferent properties of operations and objects.
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MA.K-12.3 Construct viable arguments and critique the reasoning of others.View Resources
MA.K-12.3.A Mathematically proficient students understand and use stated assumptions, definitions, and previouslyestablished results in constructing arguments. They make conjectures and build a logical progression ofstatements to explore the truth of their conjectures. They are able to analyze situations by breakingthem into cases, and can recognize and use counterexamples. They justify their conclusions,communicate them to others, and respond to the arguments of others. They reason inductively aboutdata, making plausible arguments that take into account the context from which the data arose.Mathematically proficient students are also able to compare the effectiveness of two plausiblearguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in anargument-explain what it is. Elementary students can construct arguments using concrete referentssuch as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct,even though they are not generalized or made formal until later grades. Later, students learn to
even though they are not generalized or made formal until later grades. Later, students learn todetermine domains to which an argument applies. Students at all grades can listen or read thearguments of others, decide whether they make sense, and ask useful questions to clarify or improvethe arguments.
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MA.K-12.4 Model with mathematics.View Resources
MA.K-12.4.A Mathematically proficient students can apply the mathematics they know to solve problems arising ineveryday life, society, and the workplace. In early grades, this might be as simple as writing an additionequation to describe a situation. In middle grades, a student might apply proportional reasoning to plana school event or analyze a problem in the community. By high school, a student might use geometry tosolve a design problem or use a function to describe how one quantity of interest depends on another.Mathematically proficient students who can apply what they know are comfortable making assumptionsand approximations to simplify a complicated situation, realizing that these may need revision later.They are able to identify important quantities in a practical situation and map their relationships usingsuch tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze thoserelationships mathematically to draw conclusions. They routinely interpret their mathematical results inthe context of the situation and reflect on whether the results make sense, possibly improving the modelif it has not served its purpose.
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MA.K-12.5 Use appropriate tools strategically.View Resources
MA.K-12.5.A Mathematically proficient students consider the available tools when solving a mathematical problem.These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, aspreadsheet, a computer algebra system, a statistical package, or dynamic geometry software.Proficient students are sufficiently familiar with tools appropriate for their grade or course to makesound decisions about when each of these tools might be helpful, recognizing both the insight to begained and their limitations. For example, mathematically proficient high school students analyzegraphs of functions and solutions generated using a graphing calculator. They detect possible errors bystrategically using estimation and other mathematical knowledge. When making mathematical models,they know that technology can enable them to visualize the results of varying assumptions, exploreconsequences, and compare predictions with data. Mathematically proficient students at various gradelevels are able to identify relevant external mathematical resources, such as digital content located on awebsite, and use them to pose or solve problems. They are able to use technological tools to exploreand deepen their understanding of concepts.
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MA.K-12.6 Attend to precision.View Resources
MA.K-12.6.A Mathematically proficient students try to communicate precisely to others. They try to use cleardefinitions in discussion with others and in their own reasoning. They state the meaning of the symbolsthey choose, including using the equal sign consistently and appropriately. They are careful aboutspecifying units of measure, and labeling axes to clarify the correspondence with quantities in aproblem. They calculate accurately and efficiently, express numerical answers with a degree ofprecision appropriate for the problem context. In the elementary grades, students give carefullyformulated explanations to each other. By the time they reach high school they have learned toexamine claims and make explicit use of definitions.
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MA.K-12.7 Look for and make use of structure.View Resources
MA.K-12.7.A Mathematically proficient students look closely to discern a pattern or structure. Young students, forexample, might notice that three and seven more is the same amount as seven and three more, or theymay sort a collection of shapes according to how many sides the shapes have. Later, students will see7 ! 8 equals the well remembered 7 ! 5 + 7 ! 3, in preparation for learning about the distributive
Grade 7 Introduction
SectionsMathematical Practices
Grade 7 Introduction
Grade 7
The Number System
Grade 7
Geometry
Grade 7
property. In the expression x" + 9x + 14, older students can see the 14 as 2 ! 7 and the 9 as 2 + 7.They recognize the significance of an existing line in a geometric figure and can use the strategy ofdrawing an auxiliary line for solving problems. They also can step back for an overview and shiftperspective. They can see complicated things, such as some algebraic expressions, as single objectsor as being composed of several objects. For example, they can see 5 – 3(x – y)" as 5 minus a positivenumber times a square and use that to realize that its value cannot be more than 5 for any realnumbers x and y.
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MA.K-12.8 Look for and express regularity in repeated reasoning.View Resources
MA.K-12.8.A Mathematically proficient students notice if calculations are repeated, and look both for generalmethods and for shortcuts. Upper elementary students might notice when dividing 25 by 11 that theyare repeating the same calculations over and over again, and conclude they have a repeating decimal.By paying attention to the calculation of slope as they repeatedly check whether points are on the linethrough (1, 2) with slope 3, middle school students might abstract the equation (y – 2)/(x – 1) = 3.Noticing the regularity in the way terms cancel when expanding (x – 1)(x + 1), (x – 1)(x" + x + 1), and (x– 1)(x# + x" + x + 1) might lead them to the general formula for the sum of a geometric series. As theywork to solve a problem, mathematically proficient students maintain oversight of the process, whileattending to the details. They continually evaluate the reasonableness of their intermediate results.
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MA.7.7 In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of andapplying proportional relationships; (2) developing understanding of operations with rational numbers andworking with expressions and linear equations; (3) solving problems involving scale drawings and informalgeometric constructions, and working with two- and three-dimensional shapes to solve problems involvingarea, surface area, and volume; and (4) drawing inferences about populations based on samples.
MA.7.7.1 Students extend their understanding of ratios and develop understanding of proportionality to solvesingle- and multi-step problems. Students use their understanding of ratios and proportionality to solvea wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percentincrease or decrease. Students solve problems about scale drawings by relating corresponding lengthsbetween the objects or by using the fact that relationships of lengths within an object are preserved insimilar objects. Students graph proportional relationships and understand the unit rate informally as ameasure of the steepness of the related line, called the slope. They distinguish proportionalrelationships from other relationships.
MA.7.7.2 Students develop a unified understanding of number, recognizing fractions, decimals (that have a finiteor a repeating decimal representation), and percents as different representations of rational numbers.Students extend addition, subtraction, multiplication, and division to all rational numbers, maintainingthe properties of operations and the relationships between addition and subtraction, and multiplicationand division. By applying these properties, and by viewing negative numbers in terms of everydaycontexts (e.g., amounts owed or temperatures below zero), students explain and interpret the rules foradding, subtracting, multiplying, and dividing with negative numbers. They use the arithmetic of rationalnumbers as they formulate expressions and equations in one variable and use these equations to solveproblems.
MA.7.7.3 Students continue their work with area from Grade 6, solving problems involving the area andcircumference of a circle and surface area of three-dimensional objects. In preparation for work oncongruence and similarity in Grade 8 they reason about relationships among two-dimensional figuresusing scale drawings and informal geometric constructions, and they gain familiarity with therelationships between angles formed by intersecting lines. Students work with three-dimensionalfigures, relating them to two-dimensional figures by examining cross-sections. They solve real-world
and mathematical problems involving area, surface area, and volume of two- and three-dimensionalobjects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
MA.7.7.4 Students build on their previous work with single data distributions to compare two data distributions
Grade 7
and address questions about differences between populations. They begin informal work with randomsampling to generate data sets and learn about the importance of representative samples for drawinginferences.
MA.7.7.RP Ratios and Proportional RelationshipsHide Resources
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Students are introduced to vocablulary of proportions and are asked tosolve proportions using unit rate, equal fractions, and cross products.Submitted by: Leslie Paytes
Solving Proportions Three Ways [SMART Notebooklesson]
4660 2
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Practice estimating percents with tax and tips. Practice calcuatinginterest.Submitted by: TScully
Percents [SMART Notebook lesson] 4562 1
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Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebook lesson] 3100 0
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Notes and examples using the percent proportion.Submitted by: Leslie Paytes
The Percent Proportion [SMART Notebook lesson] 2888 0
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MA.7. Analyze proportional relationships and use them to solve real-world and mathematical problems.Hide Resources
Students are introduced to vocablulary of proportions and are askedto solve proportions using unit rate, equal fractions, and crossproducts.Submitted by: Leslie Paytes
Solving Proportions Three Ways [SMARTNotebook lesson]
4660 2
See 10 lessons
Click to PreviewOpen in SMART Notebook ExpressDownload 2.46 MB
Click to Preview
Open in SMART Notebook Express
Practice estimating percents with tax and tips. Practice calcuatinginterest.Submitted by: TScully
Percents [SMART Notebook lesson] 4562 1
Download 2.22 MB
Click to Preview
Open in SMART Notebook Express
Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebook lesson] 3100 0
Download 1.58 MB
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Notes and examples using the percent proportion.Submitted by: Leslie Paytes
The Percent Proportion [SMART Notebook lesson] 2888 0
Download 1.0 MB
MA.7.7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and otherquantities measured in like or different units.
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Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebooklesson]
3100 0
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This lesson activity provides practice in setting up ratio's andproportions from pictures and word problems.Submitted by: US Educator
Similar Figures and Proportions [SMARTNotebook lesson]
2050 0
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MA.7.7.RP.2 Recognize and represent proportional relationships between quantities.Hide Resources
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Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebooklesson]
3100 0
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7th and 8th grade topic of converting metric measurements,currency, and map scales. Displays examples that may be usedwith proportion strategy or other valid strategies for practice.Submitted by: Salamone
Conversions Notebook [SMART Notebooklesson]
884 0
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This will show students basic understanding of Ratios withpracticeSubmitted by: P. Margwarth
Halloween Ratios [SMART Notebook lesson] 721 1
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Florida NGSSS MA.7.A.1.4 Distinguish proportional relationshipsand identify the unit rate as the slope of the related linear function.Examples from Glencoe Pre-Algebra Study Guide.Submitted by: ajgreth
Rate of Change [SMART Notebook lesson] 640 0
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MA.7.7.RP.2.a
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratiosin a table or graphing on a coordinate plane and observing whether the graph is a straight linethrough the origin.
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This will show students basic understanding of Ratios withpracticeSubmitted by: P. Margwarth
Halloween Ratios [SMART Notebook lesson] 721 1
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MA.7.7.RP.2.b
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbaldescriptions of proportional relationships.
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Florida NGSSS MA.7.A.1.4 Distinguish proportional relationshipsand identify the unit rate as the slope of the related linear function.Examples from Glencoe Pre-Algebra Study Guide.Submitted by: ajgreth
Rate of Change [SMART Notebook lesson] 640 0
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MA.7.7.RP.2.c
Represent proportional relationships by equations.Hide Resources
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Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebooklesson]
3100 0
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7th and 8th grade topic of converting metric measurements,currency, and map scales. Displays examples that may be usedwith proportion strategy or other valid strategies for practice.
Submitted by: Salamone
Conversions Notebook [SMART Notebooklesson]
884 0
Download 1.87 MB
MA.7.7.RP.2.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of thesituation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
MA.7.7.RP.3 Use proportional relationships to solve multistep ratio and percent problems.Hide Resources
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Students are introduced to vocablulary of proportions and areasked to solve proportions using unit rate, equal fractions, andcross products.Submitted by: Leslie Paytes
Solving Proportions Three Ways [SMARTNotebook lesson]
4660 2
Download 2.46 MB
The Number System
See 6 lessons
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Practice estimating percents with tax and tips. Practice calcuatinginterest.Submitted by: TScully
Percents [SMART Notebook lesson] 4562 1
Download 2.22 MB
Click to Preview
Open in SMART Notebook Express
Notes and activities on setting up a proportionSubmitted by: Leslie Paytes
Setting Up a Proportion [SMART Notebooklesson]
3100 0
Download 1.58 MB
Click to Preview
Open in SMART Notebook Express
Notes and examples using the percent proportion.Submitted by: Leslie Paytes
The Percent Proportion [SMART Notebook
lesson]
2888 0
Download 1.0 MB
MA.7.7.NS The Number SystemHide Resources
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This lesson activity provides practice in converting between percents,fractions, and decimals. Simple percent problems are also included.
Percents [SMART Notebook lesson] 10907 0
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This lesson activity provides practice of the rules for the basicoperations with integers.
Addition, Subtraction, Multiplication, andDivision of Integers [SMART Notebook lesson]
8024 17
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Students can manipulate objects to help them visualize the concept ofthe 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Submitted by: TraciFisher
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Basic introduction to teaching the process of how to multiply a fractionwith another fraction.Submitted by: Lori English
Introduction to multiplying fractions [SMARTNotebook lesson]
5184 1
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MA.7. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, anddivide rational numbers.
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This lesson activity provides practice in converting between percents,fractions, and decimals. Simple percent problems are also included.
Percents [SMART Notebook lesson] 10907 0
Download 1.26 MB
Click to Preview
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This lesson activity provides practice of the rules for the basicoperations with integers.
Addition, Subtraction, Multiplication, andDivision of Integers [SMART Notebook lesson]
8024 17
Download 1.76 MB
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Open in SMART Notebook Express
Students can manipulate objects to help them visualize the conceptof the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Click to Preview
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Basic introduction to teaching the process of how to multiply afraction with another fraction.Submitted by: Lori English
Introduction to multiplying fractions [SMARTNotebook lesson]
5184 1
Download 0.31 MB
MA.7.7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rationalnumbers; represent addition and subtraction on a horizontal or vertical number line diagram.
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Students can manipulate objects to help them visualize theconcept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Matching Algebraic Properties and Examples of those Properties.Submitted by: Sarah Melanephy
Algebraic Properties [SMART Notebook lesson] 3388 2
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subtracting integers for 7th grade
subtracting integers [SMART Notebook lesson] 3137 1
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GRAPHIC VISUAL DEPICTION OF TWO METHODS OFADDING AND SUBTRACTING MIXED NUMBERS WITHCOMMON AND UNCOMMON DENOMINATORS. DOES NOTINCLUDE RE-GROUPING. LAST PAGE HAS 4 PRACTICEPROBLEMS FOR A TOTAL OF 24 PAGES.Submitted by: N. O'DONNEL
HOW TO ADD AND SUBTRACT MIXEDNUMBERS [SMART Notebook Math Tools lesson]
2924 2
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MA.7.7.NS.1.a
Describe situations in which opposite quantities combine to make 0.Hide Resources
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These questions test knowledge of the properties of numbers.
Properties of Numbers (Question set)[SMART Response question set]
1249 0
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Reciprocal Operations [SMART Notebooklesson]
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To teach students how to solve single variable equations by usinginverse operations and reciprocals.Submitted by: Katy Wang
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MA.7.7.NS.1.b
Understand p + q as the number located a distance |q| from p, in the positive or negative directiondepending on whether q is positive or negative. Show that a number and its opposite have a sum of0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.
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This lesson illustrates with a number line and a slot machine howto add and subtract positive and negative numbers. It alsoincludes a 5 question response assessment.
Adding Integers [SMART Notebook lesson] 2643 0
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Warm ups for students adding, subtracting, multiplying anddividing integers with rules and examples.Submitted by: JasonBrady
Positive and Negative Integers [SMARTNotebook lesson]
2274 0
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Adding integers with the sames sign. Adding integers withdifferent signs.Submitted by: O. Jones
Adding Integers [SMART Notebook lesson] 1597 0
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These questions test knowledge of the properties of numbers.
Properties of Numbers (Question set)[SMART Response question set]
1249 0
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MA.7.7.NS.1.c
Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Showthat the distance between two rational numbers on the number line is the absolute value of theirdifference, and apply this principle in real-world contexts.
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subtracting integers for 7th grade
subtracting integers [SMART Notebook lesson] 3137 1
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Fun interactive way to learn how to subtract integers using 2methods.Submitted by: Annayanna
Subtracting Integers [SMART Notebook lesson] 2520 2
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I have used the infinite cloner to create unit tiles to modelsubtraction problems with algebra tiles.Submitted by: Barbara Schallau
Subtraction of Integers [SMART Notebooklesson]
2175 0
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To help students understand the meaning of absolute value andinterpret the absolute value as the distance of the number fromzero on a number line.Submitted by: Lynn Pardon
Absolute Value [SMART Notebook lesson] 2028 0
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MA.7.7.NS.1.d
Apply properties of operations as strategies to add and subtract rational numbers.Hide Resources
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Students can manipulate objects to help them visualize theconcept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Matching Algebraic Properties and Examples of those Properties.Submitted by: Sarah Melanephy
Algebraic Properties [SMART Notebook lesson] 3388 2
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GRAPHIC VISUAL DEPICTION OF TWO METHODS OFADDING AND SUBTRACTING MIXED NUMBERS WITHCOMMON AND UNCOMMON DENOMINATORS. DOES NOTINCLUDE RE-GROUPING. LAST PAGE HAS 4 PRACTICEPROBLEMS FOR A TOTAL OF 24 PAGES.Submitted by: N. O'DONNEL
HOW TO ADD AND SUBTRACT MIXEDNUMBERS [SMART Notebook Math Tools lesson]
2924 2
Download 0.69 MB
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Fun interactive way to learn how to subtract integers using 2methods.Submitted by: Annayanna
Subtracting Integers [SMART Notebook lesson] 2520 2
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MA.7.7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiplyand divide rational numbers.
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This lesson activity provides practice in converting betweenpercents, fractions, and decimals. Simple percent problems arealso included.
Percents [SMART Notebook lesson] 10907 0
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This lesson activity provides practice of the rules for the basicoperations with integers.
Addition, Subtraction, Multiplication, andDivision of Integers [SMART Notebook lesson]
8024 17
Download 1.76 MB
Click to Preview
Open in SMART Notebook Express
Students can manipulate objects to help them visualize theconcept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Multiplying & Dividing with Integers[SMART Notebook lesson]
3781 0
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A short review activity from the lesson activity toolkit for studentsto practice mutliplying and dividing with integers.
[SMART Notebook lesson]
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MA.7.7.NS.2.a
Understand that multiplication is extended from fractions to rational numbers by requiring thatoperations continue to satisfy the properties of operations, particularly the distributive property,leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret
products of rational numbers by describing real-world contexts.Hide Resources
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properties
distributive property [SMART Notebook lesson] 3268 2
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MA.7.7.NS.2.b
Understand that integers can be divided, provided that the divisor is not zero, and every quotient ofintegers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q =p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
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This lesson activity provides practice of the rules for the basicoperations with integers.
Addition, Subtraction, Multiplication, andDivision of Integers [SMART Notebook lesson]
8024 17
Download 1.76 MB
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A short review activity from the lesson activity toolkit for studentsto practice mutliplying and dividing with integers.
Multiplying & Dividing with Integers[SMART Notebook lesson]
3781 0
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Multiplying and Dividing Integers with a proof of why a negative bya negative is a positiveSubmitted by: J. Fortunel
Multiplying and Dividing Integers [SMARTNotebook lesson]
2421 0
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Positive and Negative Integers [SMARTNotebook lesson]
2274 0
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Warm ups for students adding, subtracting, multiplying anddividing integers with rules and examples.Submitted by: JasonBrady
Notebook lesson]
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MA.7.7.NS.2.c
Apply properties of operations as strategies to multiply and divide rational numbers.Hide Resources
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Students can manipulate objects to help them visualize theconcept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Matching Algebraic Properties and Examples of those Properties.Submitted by: Sarah Melanephy
Algebraic Properties [SMART Notebook lesson] 3388 2
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Students drag adn drop numbers to practive long division withdecimals.Submitted by: Mrs. Sanders
Long Division With Decimals [SMARTNotebook lesson]
2182 0
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Lesson teaches multiplying positive and negative numbers. It also
covers simplifying algebraic expressions using multiplication.
Multiplying Integers [SMART Notebook lesson] 1951 0
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MA.7.7.NS.2.d
Convert a rational number to a decimal using long division; know that the decimal form of a rationalnumber terminates in 0s or eventually repeats.
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This lesson activity provides practice in converting betweenpercents, fractions, and decimals. Simple percent problems are
Percents [SMART Notebook lesson] 10907 0
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also included.
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Percents Jeopardy game designed for use with the SenteoResponse Clickers. The Jeopardy template was downloaded fromthe Smart Exchange website.Submitted by: A. Faonelua
Math Teacher [SMART Notebook lesson] 1101 0
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MA.7.7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.Hide Resources
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Students can manipulate objects to help them visualize the
concept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Basic introduction to teaching the process of how to multiply afraction with another fraction.Submitted by: Lori English
Introduction to multiplying fractions [SMARTNotebook lesson]
5184 1
Download 0.31 MB
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Introductory lesson listing the steps involved in teaching how tomultiply a mixed number with another mixed number.Submitted by: Lori English
Introduction to Multiplying MixedNumbers [SMART Notebook lesson]
3058 2
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This is a lesson on the multiplication of fractions.Submitted by: Susan Sarshik
Multiplication of Fractions [SMART Notebooklesson]
2661 0
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Grade 7
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MA.7.7.EE Expressions and EquationsHide Resources
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Students can manipulate objects to help them visualize the concept ofthe 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMART
Notebook lesson]
5656 2
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Graphing inequalities (and compound inequalities) and solvinginequalities with addition, subtraction, multiplication and division.Submitted by: J. Fortunel
Graphing Inequalities [SMART Notebook Math Toolslesson]
4893 0
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reviewing steps of solving and then solving simple 2-step equationsSubmitted by: Kathy Woods
Solve Simple 2-Step Equations [SMART Notebooklesson]
3684 1
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Write one-step equations to solve word problems.Submitted by: Beth Billett
Writing Equations [SMART Notebook lesson] 2695 2
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MA.7. Use properties of operations to generate equivalent expressions.Hide Resources
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Introduction to Algebra TilesSubmitted by: Beth Billett
Algebra Tiles [SMART Notebook lesson] 1708 1
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MA.7.7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressionswith rational coefficients.
MA.7.7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on theproblem and how the quantities in it are related.
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Introduction to Algebra TilesSubmitted by: Beth Billett
Algebra Tiles [SMART Notebook lesson] 1708 1
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MA.7. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.Hide Resources
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Students can manipulate objects to help them visualize the conceptof the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Graphing inequalities (and compound inequalities) and solvinginequalities with addition, subtraction, multiplication and division.Submitted by: J. Fortunel
Graphing Inequalities [SMART Notebook Math Toolslesson]
4893 0
Download 2.47 MB
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reviewing steps of solving and then solving simple 2-step equationsSubmitted by: Kathy Woods
Solve Simple 2-Step Equations [SMARTNotebook lesson]
3684 1
Download 1.81 MB
Open in SMART Notebook Express
Write one-step equations to solve word problems.Submitted by: Beth Billett
Writing Equations [SMART Notebook lesson] 2695 2
Download 1.13 MB
See 19 lessons
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MA.7.7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rationalnumbers in any form (whole numbers, fractions, and decimals), using tools strategically. Applyproperties of operations to calculate with numbers in any form; convert between forms asappropriate; and assess the reasonableness of answers using mental computation and estimationstrategies.
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Students can manipulate objects to help them visualize theconcept of the 4 basic math operations.Submitted by: TraciFisher
Basic Operations Word Problems [SMARTNotebook lesson]
5656 2
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Fun interactive way to learn how to subtract integers using 2methods.Submitted by: Annayanna
Subtracting Integers [SMART Notebook lesson] 2520 2
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Students drag adn drop numbers to practive long division withdecimals.Submitted by: Mrs. Sanders
Long Division With Decimals [SMARTNotebook lesson]
2182 0
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The objective is to use rounding to make reasonable estimates fordecimal sums, differences, products and quotients.
Rounding and Estimating [SMART Notebooklesson]
1746 3
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MA.7.7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simpleequations and inequalities to solve problems by reasoning about the quantities.
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Graphing inequalities (and compound inequalities) and solvinginequalities with addition, subtraction, multiplication and division.Submitted by: J. Fortunel
Graphing Inequalities [SMART Notebook MathTools lesson]
4893 0
See 7 lessons
Click to Preview Open in SMART Notebook ExpressDownload 2.47 MB
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reviewing steps of solving and then solving simple 2-stepequationsSubmitted by: Kathy Woods
Solve Simple 2-Step Equations [SMARTNotebook lesson]
3684 1
Download 1.81 MB
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Write one-step equations to solve word problems.Submitted by: Beth Billett
Writing Equations [SMART Notebook lesson] 2695 2
Download 1.13 MB
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These questions test the ability to solve problems algebraically.
Multistep Problems (Question set) [SMARTResponse question set]
2340 2
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MA.7.7.EE.4.a
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and rare specific rational numbers. Solve equations of these forms fluently. Compare an algebraicsolution to an arithmetic solution, identifying the sequence of the operations used in each approach.
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reviewing steps of solving and then solving simple 2-stepequationsSubmitted by: Kathy Woods
Solve Simple 2-Step Equations [SMARTNotebook lesson]
3684 1
Download 1.81 MB
Click to Preview
Open in SMART Notebook Express
Write one-step equations to solve word problems.Submitted by: Beth Billett
Writing Equations [SMART Notebook lesson] 2695 2
Download 1.13 MB
Click to Preview
Open in SMART Notebook Express
These questions test the ability to solve problems algebraically.
Multistep Problems (Question set) [SMARTResponse question set]
2340 2
Download 0.12 MB
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Tired of using PEMDAS to explain order of operation? Thispyramid is a complete visual representation of order of operation.It is perfect since it displays using the operations from left to rightas well.Submitted by: A. Gilardino
Order of Operation Pyramid [SMARTNotebook lesson]
389 0
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MA.7.7.EE.4.b
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r arespecific rational numbers. Graph the solution set of the inequality and interpret it in the context of theproblem.
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Graphing inequalities (and compound inequalities) and solvinginequalities with addition, subtraction, multiplication and division.Submitted by: J. Fortunel
Graphing Inequalities [SMART Notebook MathTools lesson]
4893 0
Download 2.47 MB
Click to Preview
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These questions test the ability to solve problems algebraically.
Multistep Problems (Question set) [SMARTResponse question set]
2340 2
Download 0.12 MB
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This activity covers how to identify the properties of inequalities. Itwill also cover how to determine and graph the solution of aninequality with one variable on a number line.
Algebra: Linear Inequalities [SMART Notebooklesson]
1407 0
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An introduction to graphing inequalities on a number line.Submitted by: Amber
Graphing Inequalities [SMART Notebook MathTools lesson]
1050 1
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Geometry
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MA.7.7.G GeometryHide Resources
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Students have a bit of background knowledge on similar figures. Thislesson takes their knowledge and applies it to the real world and howwe use proportions and similar figures.
Similar Figures, Indirect Measurement andScale Drawings [SMART Notebook lesson]
3983 2
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Students will practice finding the Circumference, Volume, and SurfaceArea of given shapes/figures.Submitted by: ehudgins
Circumference, Volume, Surface Area [SMART
Notebook lesson]
3842 3
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This lesson will help the students with the formula for lateral area of aprismSubmitted by: Anne Bond
Surface Area Of Prisms [SMART Notebook lesson] 3361 2
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Classifying triangles by sides and angles, finding missing anglemeasures.Submitted by: P. Giebel
All About ... Triangles [SMART Notebook lesson] 3015 2
Download 0.42 MB
MA.7. Draw, construct, and describe geometrical figures and describe the relationships between them.Hide Resources
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Students have a bit of background knowledge on similar figures. Thislesson takes their knowledge and applies it to the real world and howwe use proportions and similar figures.
Similar Figures, Indirect Measurement andScale Drawings [SMART Notebook lesson]
3983 2
Download 1.45 MB
Classifying triangles by sides and angles, finding missing angle
All About ... Triangles [SMART Notebook lesson] 3015 2
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Classifying triangles by sides and angles, finding missing anglemeasures.Submitted by: P. Giebel
Download 0.42 MB
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The objectives are to read and to interpret maps and scales. Also, itis to use scale drawings to solve problems.
Scale Drawing [SMART Notebook lesson] 2977 0
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Students learn what similar figures are and real-world application ofindirect measurement and scale drawings
Similar Figures, Indirect Measurement andScale Drawings [SMART Notebook lesson]
1464 1
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MA.7.7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengthsand areas from a scale drawing and reproducing a scale drawing at a different scale.
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Students have a bit of background knowledge on similar figures.This lesson takes their knowledge and applies it to the real worldand how we use proportions and similar figures.
Similar Figures, Indirect Measurementand Scale Drawings [SMART Notebook lesson]
3983 2
Download 1.45 MB
Click to Preview
Open in SMART Notebook Express
The objectives are to read and to interpret maps and scales. Also,it is to use scale drawings to solve problems.
Scale Drawing [SMART Notebook lesson] 2977 0
Download 0.43 MB
Students learn what similar figures are and real-world applicationof indirect measurement and scale drawings
Similar Figures, Indirect Measurementand Scale Drawings [SMART Notebook lesson]
1464 1
Click to Preview
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of indirect measurement and scale drawings
Download 1.45 MB
MA.7.7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with givenconditions. Focus on constructing triangles from three measures of angles or sides, noticing whenthe conditions determine a unique triangle, more than one triangle, or no triangle.
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Classifying triangles by sides and angles, finding missing anglemeasures.Submitted by: P. Giebel
All About ... Triangles [SMART Notebook lesson] 3015 2
Download 0.42 MB
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Students will observe which side lengths make a triangle andinvestigate the theorem stating that the largest angle is oppositethe longest side of a triangle.Submitted by: Sue
Triangle Inequalites [SMART Notebook MathTools lesson]
374 0
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MA.7.7.G.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in planesections of right rectangular prisms and right rectangular pyramids.
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Describe, analyze and reason about the properties of rectangularprisms. Contruct rectangular prisms and flat patterns using avariety of materials and tools.Submitted by: Susanne
Rectangular Prisms [SMART Notebook lesson] 1286 1
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MA.7. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.Hide Resources
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Students will practice finding the Circumference, Volume, andSurface Area of given shapes/figures.Submitted by: ehudgins
Circumference, Volume, Surface Area[SMART Notebook lesson]
3842 3
Download 1.1 MB
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Open in SMART Notebook Express
This lesson will help the students with the formula for lateral area of aprismSubmitted by: Anne Bond
Surface Area Of Prisms [SMART Notebook lesson] 3361 2
Download 0.37 MB
See 6 lessons
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While looking at geometric shapes in sports, students wll determinewhether to find the area or the perimeter for each problem set beforethem. I have included a football field and a basketball court forchallenges. Some sildes require more higher level of learning andmore challenging Bloom's Taxonomy questions.Submitted by: K. Gann
Should I Cover it Up...Or Go Around It?[SMART Notebook lesson]
2171 1
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This lesson activity provides introduces and provides practice incalculating the area of various shapes.
Measurement Part 1: Area [SMART Notebooklesson]
1939 1
Download 0.9 MB
MA.7.7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; givean informal derivation of the relationship between the circumference and area of a circle.
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Students will practice finding the Circumference, Volume, andSurface Area of given shapes/figures.Submitted by: ehudgins
Circumference, Volume, Surface Area[SMART Notebook lesson]
3842 3
Download 1.1 MB
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Formula for area of a circle and how to use a grid and squares tocheck reasonableness or answer.Submitted by: L. Horne
Area of a Circle [SMART Notebook lesson] 1832 0
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MA.7.7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-stepproblem to write and solve simple equations for an unknown angle in a figure.
MA.7.7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- andthree-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
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Students will practice finding the Circumference, Volume, andSurface Area of given shapes/figures.Submitted by: ehudgins
Circumference, Volume, Surface Area[SMART Notebook lesson]
3842 3
Download 1.1 MB
Grade 7
See 5 lessons
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This lesson will help the students with the formula for lateral areaof a prismSubmitted by: Anne Bond
Surface Area Of Prisms [SMART Notebooklesson]
3361 2
Download 0.37 MB
Click to Preview
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While looking at geometric shapes in sports, students wlldetermine whether to find the area or the perimeter for eachproblem set before them. I have included a football field and abasketball court for challenges. Some sildes require more higherlevel of learning and more challenging Bloom's Taxonomyquestions.Submitted by: K. Gann
Should I Cover it Up...Or Go Around It?[SMART Notebook lesson]
2171 1
Download 3.16 MB
Click to Preview
Open in SMART Notebook Express
This lesson activity provides introduces and provides practice incalculating the area of various shapes.
Measurement Part 1: Area [SMART Notebooklesson]
1939 1
Download 0.9 MB
MA.7.7.SP Statistics and ProbabilityHide Resources
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This lesson activity allows students to explore probability through theuse of spinners, dice, and a random image chooser. Students willdiscuss if a situation has a equal probability or unequal probability.Submitted by: K. Romenesko
Exploring Probability [SMART Notebook lesson] 5708 2
Download 3.08 MB
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This lesson activity's focus is to construct sample spaces usingorganized lists and tree diagrams and to determine the probability ofcompound events.
Compound Events [SMART Notebook lesson] 2541 1
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See 7 lessons
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Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebook lesson] 1883 0
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These questions test the ability to understand the probabilities ofoutcomes.
Probabilities of Outcomes (Question set)[SMART Response question set]
1231 0
Download 0.12 MB
MA.7. Use random sampling to draw inferences about a population.
MA.7.7.SP.1 Understand that statistics can be used to gain information about a population by examining a sample
of the population; generalizations about a population from a sample are valid only if the sample isrepresentative of that population. Understand that random sampling tends to produce representativesamples and support valid inferences.
MA.7.7.SP.2 Use data from a random sample to draw inferences about a population with an unknowncharacteristic of interest. Generate multiple samples (or simulated samples) of the same size togauge the variation in estimates or predictions.
MA.7. Draw informal comparative inferences about two populations.
MA.7.7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions with similarvariabilities, measuring the difference between the centers by expressing it as a multiple of ameasure of variability.
MA.7.7.SP.4 Use measures of center and measures of variability for numerical data from random samples to drawinformal comparative inferences about two populations.
MA.7. Investigate chance processes and develop, use, and evaluate probability models.Hide Resources
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This lesson activity allows students to explore probability through theuse of spinners, dice, and a random image chooser. Students willdiscuss if a situation has a equal probability or unequal probability.Submitted by: K. Romenesko
Exploring Probability [SMART Notebook lesson] 5708 2
Download 3.08 MB
Open in SMART Notebook Express
This lesson activity's focus is to construct sample spaces usingorganized lists and tree diagrams and to determine the probability ofcompound events.
Compound Events [SMART Notebook lesson] 2541 1
Download 0.87 MB
See 7 lessons
Click to Preview
Open in SMART Notebook ExpressDownload 0.87 MB
Click to Preview
Open in SMART Notebook Express
Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebooklesson]
1883 0
Download 0.54 MB
Click to Preview
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These questions test the ability to understand the probabilities ofoutcomes.
Probabilities of Outcomes (Question set)[SMART Response question set]
1231 0
Download 0.12 MB
MA.7.7.SP.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses thelikelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely norlikely, and a probability near 1 indicates a likely event.
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This lesson activity allows students to explore probability throughthe use of spinners, dice, and a random image chooser. Studentswill discuss if a situation has a equal probability or unequalprobability.Submitted by: K. Romenesko
Exploring Probability [SMART Notebook lesson] 5708 2
Download 3.08 MB
Click to PreviewOpen in SMART Notebook Express
Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebooklesson]
1883 0
Download 0.54 MB
Introduces probability, the differences between experimental andtheoretical probability, and complementary eventsSubmitted by: Sue from Fort Collins
Experimental and Theoretical Probability[SMART Notebook lesson]
1186 0
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Submitted by: Sue from Fort Collins
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Introduces 6th graders to probability with some basic definitionsand then an interactive dice roll to complete an experiment.Submitted by: J. Muth
Probability Introduction [SMART Notebooklesson]
1173 0
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MA.7.7.SP.6 Approximate the probability of a chance event by collecting data on the chance process thatproduces it and observing its long-run relative frequency, and predict the approximate relativefrequency given the probability.
MA.7.7.SP.7 Develop a probability model and use it to find probabilities of events. Compare probabilities from amodel to observed frequencies; if the agreement is not good, explain possible sources of thediscrepancy.
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This lesson activity allows students to explore probability throughthe use of spinners, dice, and a random image chooser. Studentswill discuss if a situation has a equal probability or unequalprobability.Submitted by: K. Romenesko
Exploring Probability [SMART Notebook lesson] 5708 2
Download 3.08 MB
Click to PreviewOpen in SMART Notebook Express
Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebooklesson]
1883 0
Download 0.54 MB
MA.7.7.SP.7.a
Develop a uniform probability model by assigning equal probability to all outcomes, and use themodel to determine probabilities of events.
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Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebooklesson]
1883 0
Download 0.54 MB
MA.7.7.SP.7.b
Develop a probability model (which may not be uniform) by observing frequencies in data generatedfrom a chance process.
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This lesson activity allows students to explore probability throughthe use of spinners, dice, and a random image chooser. Studentswill discuss if a situation has a equal probability or unequalprobability.Submitted by: K. Romenesko
Exploring Probability [SMART Notebook lesson] 5708 2
Download 3.08 MB
Click to PreviewOpen in SMART Notebook Express
Introduces probablility, experimental and theorectical probability,complementary eventsSubmitted by: Sue from Fort Collins
Intoduction to Probability [SMART Notebooklesson]
1883 0
Download 0.54 MB
MA.7.7.SP.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.Hide Resources
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This lesson activity's focus is to construct sample spaces usingorganized lists and tree diagrams and to determine the probabilityof compound events.
Compound Events [SMART Notebook lesson] 2541 1
Download 0.87 MB
Click to Preview
Open in SMART Notebook Express
These questions test the ability to understand the probabilities ofoutcomes.
Probabilities of Outcomes (Question set)[SMART Response question set]
1231 0
Download 0.12 MB
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This is a probability lesson addressing NYS math 7 standards.Submitted by: Y. Melnichenko
Independent Events [SMART Notebook lesson] 1196 0
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MA.7.7.SP.8.a
Understand that, just as with simple events, the probability of a compound event is the fraction ofoutcomes in the sample space for which the compound event occurs.
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This lesson activity's focus is to construct sample spaces using
Compound Events [SMART Notebook lesson] 2541 1
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Open in SMART Notebook Express
This lesson activity's focus is to construct sample spaces usingorganized lists and tree diagrams and to determine the probabilityof compound events.
Download 0.87 MB
Click to Preview
Open in SMART Notebook Express
These questions test the ability to understand the probabilities ofoutcomes.
Probabilities of Outcomes (Question set) [SMART Response question set]
1231 0
Download 0.12 MB
Click to Preview
Open in SMART Notebook Express
This is a probability lesson addressing NYS math 7 standards.Submitted by: Y. Melnichenko
Independent Events [SMART Notebook lesson] 1196 0
Download 2.69 MB
MA.7.7.SP.8.b Represent sample spaces for compound events using methods such as organized lists, tablesand tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”),identify the outcomes in the sample space which compose the event.
MA.7.7.SP.8.c Design and use a simulation to generate frequencies for compound events.
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