Posted: Tue, 06/12/2018 - 2:21pm Updated: Wed, 11/27/2019 - 12:21pm

This Teacher Resource Guide has been developed to provide supporting materials to help educators successfully implement the Indiana Academic Standards for Grade 7. These resources are provided to help you in your work to ensure all students meet the rigorous learning expectations set by the Indiana Academic Standards. Use of these resources are optional; teachers should decide which resources will work best in their classroom for their students.

The resources on this webpage are for illustrative purposes only, to promote a base of clarity and common understanding. Each item illustrates a standard but please note that the resources are not intended to limit interpretation or classroom applications of the standards.

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NUMBER SENSE

Activities, Examples, or Resources

7.NS.1: Find the prime factorization of whole numbers and write the results using exponents.

From Fingerprints to Factorprints

7.NS.2: Understand the inverse relationship between squaring and finding the square root of a perfect square integer.  Find square roots of perfect square integers.

Square Roots

Square Dance

7.NS.3: Know there are rational and irrational numbers.  Identify, compare, and order rational and common irrational numbers (√2, √3, √5, ∏) and plot them on a number line.

Formative Assessment Lesson

COMPUTATION

Activities, Examples, or Resources

7.C.1: Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative.  Show that a number and its opposite have a sum of 0 (are additive inverses).  Interpret sums of rational numbers by describing real-world contexts.

Distances on the Number Line

7.C.2: Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q).  Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Comparing Freezing Points

Operations on the Number Line

7.C.3: Understand that multiplication is extended from fractions to rational numbers by requiring that operations 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.

Taxi Cabs

7.C.4: Understand that integers can be divided, provided that the divisor is not zero, and that every quotient of integers (with non-zero divisor) is a rational number.  Understand that if p and q are integers, then –(p/q) = (–p)/q = p/(–q).

7.C.5: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Track Practice

Cooking with the Whole Cup

Beam to Moon

Household Energy Use

7.C.6: Use proportional relationships to solve ratio and percent problems with multiple operations, such as the following: simple interest, tax, markups, markdowns, gratuities, commissions, fees, conversions within and across measurement systems, percent increase and decrease,  and percent error.

Percents and Proportions

Tax and Tip

Would You Rather Have a Pool…

7.C.7: Compute with rational numbers fluently using a standard algorithmic approach.

Recommended Gizmos

Operations on Rational Numbers Mini-Assessment

7.C.8: Solve real-world problems with rational numbers by using one or two operations.

Estimating Population Size

ALGEBRA AND FUNCTIONS

Activities, Examples, or Resources

7.AF.1: Apply the properties of operations (e.g., identity, inverse, commutative, associative, distributive properties) to create equivalent linear expressions, including situations that involve factoring (e.g., given 2x - 10, create an equivalent expression 2(x - 5)).  Justify each step in the process.

Equivalent Algebraic Expressions

7.AF.2: Solve equations of the form px + q= r and p(x + q) = r fluently, where p, q, and r are specific rational numbers.  Represent real-world problems using equations of these forms and solve such problems.

Equation Games

7.AF.3: Solve inequalities of the form  px +q (> or ≥) r or px + q (< or ≤) r, where p, q, and r are specific rational numbers.  Represent real-world problems using inequalities of these forms and solve such problems.  Graph the solution set of the inequality and interpret it in the context of the problem.

Sports Equipment Set

7.AF.4: Define slope as vertical change for each unit of horizontal change and recognize that a constant rate of change or constant slope describes a linear function.  Identify and describe situations with constant or varying rates of change.

Which is Steeper?

Put the Point on the Line

7.AF.5: Graph a line given its slope and a point on the line.  Find the slope of a line given its graph.

Elevator Operator

7.AF.6: Decide whether two quantities are in a proportional relationship (e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin).

Gym Membership Plans

7.AF.7: Identify the unit rate or constant of proportionality in tables, graphs, equations, and verbal descriptions of proportional relationships.

Robot Races

Robot Races, Assessment Variation

Marcellus the Giant

7.AF.8: Explain what the coordinates of a point on the graph of a proportional relationship mean in terms of the situation, with special attention to the points (0, 0) and (1,r), where r is the unit rate.

Direct and Inverse Variation

7.AF.9: Identify real-world and other mathematical situations that involve proportional relationships.  Write equations and draw graphs to represent proportional relationships and recognize that these situations are described by a linear function in the form y = mx, where the unit rate, m, is the slope of the line.

Art Class, Variation 2

Fencing

GEOMETRY AND MEASUREMENTS

Activities, Examples, or Resources

7.GM.1: Draw triangles (freehand, with ruler and protractor, and using technology) with given conditions from three measures of angles or sides, and notice when the conditions determine a unique triangle, more than one triangle, or no triangle.

Triangle Inequality Theorem

7.GM.2: Identify and describe similarity relationships of polygons including the angle-angle criterion for similar triangles, and solve problems involving similarity.

Similarity in Right Triangles Gizmo

7.GM.3: Solve real-world and other mathematical problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing.  Create a scale drawing by using proportional reasoning.

Dilations

Similar Figures

7.GM.4: Solve real-world and other mathematical problems that involve vertical, adjacent, complementary, and supplementary angles.

Investigating Angle Theorems

7.GM.5: Understand the formulas for area and circumference of a circle and use them to solve real-world and other mathematical problems; give an informal derivation of the relationship between circumference and area of a circle.

Circumference and Area of Circles

7.GM.6: Solve real-world and other mathematical problems involving volume of cylinders and three-dimensional objects composed of right rectangular prisms.

Prisms and Cylinders Gizmo

7.GM.7: Construct nets for right rectangular prisms and cylinders and use the nets to compute the surface area; apply this technique to solve real-world and other mathematical problems.

Surface and Lateral Area of Prisms and Cylinders

Sports Bag

DATA ANALYSIS, STATISTICS, AND PROBABILITY

Activities, Examples, or Resources

7.DSP.1: Understand that statistics can be used to gain information about a population by examining a sample of the population and generalizations about a population from a sample are valid only if the sample is representative of that population.  Understand that random sampling tends to produce representative samples and support valid inferences.

Mr. Brigg’s Class Likes Math

Racial Bias in Traffic Stops

7.DSP.2: Use data from a random sample to draw inferences about a population.  Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

Using Random Samples to Draw Inferences

Valentine Marbles

Temperatures

Racial Bias in Traffic Stops

7.DSP.3: Find, use, and interpret measures of center (mean and median) and measures of spread (range, interquartile range, and mean absolute deviation) for numerical data from random samples to draw comparative inferences about two populations.

Haircut Costs

College Athletes

Offensive Lineman

7.DSP.4: Make observations about the degree of visual overlap of two numerical data distributions represented in line plots or box plots.  Describe how data, particularly outliers, added to a data set may affect the mean and/or median.

Sight vs. Sound Reactions

Box-and-Whisker Plots

Reaction Time

7.DSP.5: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.  Understand that a probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.  Understand that a probability of 1 indicates an event certain to occur and a probability of 0 indicates an event impossible to occur.

Spin the Big Wheel

Geometric Probability

7.DSP.6: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its relative frequency from a large sample.

Individual Trials – Random Drawing Tool

7.DSP.7: Develop probability models that include the sample space and probabilities of outcomes to represent simple events with equally likely outcomes.  Predict the approximate relative frequency of the event based on the model.  Compare probabilities from the model to observed frequencies; evaluate the level of agreement and explain possible sources of discrepancy.

Marble Mania!

Tossing Cylinders