Assessment Anchors and Eligible Content

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1 M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings of operations to add, subtract, multiply, and divide rational numbers. Solve real-world and mathematical problems involving the four operations with rational numbers. M07.A- N Apply properties of operations to add and subtract rational numbers, including real-world contexts. problems involving division of fractions by fractions. MPA-006 Lesson Title Determining Reasonableness of Answers and Appropriate Method of Computation MPA-003 Using Four-Step Plan for Problem Solving MPA-002 Adding, Subtracting, Multiplying, and Dividing Whole Numbers MPA-053 Adding, Subtracting, Multiplying, and Dividing Integers

2 MPA-018 Adding and Subtracting Decimals MPA-122 Modeling Multiplication and Division of Decimals HA1-062 Adding, Subtracting, Multiplying, and Dividing Real Numbers M07.A- N Represent addition and subtraction on a horizontal or vertical number line. MM1-580 Adding Integers with Like and Unlike Signs MM1-585 Subtracting Integers with Like and Unlike Signs MPA-044 Finding Opposite and Absolute Values of Integers MPA-047 Adding Integers with Like Signs MPA-050 Subtracting Integers with Unlike Signs MPA-053 Adding, Subtracting, Multiplying, and Dividing Integers HA1-062 Adding, Subtracting, Multiplying, and Dividing Real Numbers

3 M07.A- N Apply properties of operations to multiply and divide rational numbers, including real-world contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats. MPA-051 Multiplying Integers with Like and Unlike Signs MPA-052 Dividing Integers with Like and Unlike Signs MPA-053 Adding, Subtracting, Multiplying, and Dividing Integers MPA-036 Multiplying Fractions and Mixed Numbers and Simplifying MPA-037 Dividing Fractions and Mixed Numbers and Simplifying MPA-053 Adding, Subtracting, Multiplying, and Dividing Integers HA1-062 Adding, Subtracting, Multiplying, and Dividing Real Numbers

4 M07.A-R Ratios and Proportional Relationships M07.A-R.1 Reporting Category Demonstrate an understanding of proportional relationships. M07.A-R.1.1 DESCRIPTOR Analyze, recognize, and represent proportional relationships and use them to solve real-world and mathematical problems. M07.A- R M07.A- R Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. Determine whether two quantities are proportionally related (e.g., by testing for equivalent ratios in a table, graphing on a coordinate plane and observing whether the graph is a straight line through the origin). MPA-078 MPA-079 MPA-155 MPA-080 MPA-135 MPA-142 MPA-110 Lesson Title Expressing Ratios as Fractions and Determining Equivalency Unit rates Comparing and Converting Rates Solving Proportions Determining the Slope of a Line Solving Problems With Linear Functions and Direct Variation Solving Problems Using Proportions, Scale Drawings, Models, and Maps

5 M07.A- R Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. MPA-142 Solving Problems With Linear Functions and Direct Variation M07.A- R M07.A- R Represent proportional relationships by equations. Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r), where r is the unit rate. MPA-142 MPA-155 MPA-135 MPA-140 Solving Problems With Linear Functions and Direct Variation Comparing and Converting Rates Determining the Slope of a Line Examining Linear Equations in Slope-Intercept Form M07.A- R Use proportional relationships to solve multi-step ratio and percent problems. MPA-083 Finding Number Given Percent and Total MPA-084 Finding Percent Given Number and Total MPA-085 Finding Total Given Number and Percent

6 MPA-086 Solving Problems Using Percent MPA-087 Finding Percent Increase and Decrease MPA-126 Solving Real-World Problems Involving Sales Tax MPA-127 MPA-128 Solving Real-World Problems Involving Discounts, Markups, and Commission Solving Real-World Problems Involving Simple and Compound Interest M07.B-E Expressions and Equations M07.B-E.1 MPA-088 Solving Real-World Problems Involving Percent Reporting Category Represent expressions in equivalent forms. DESCRIPTOR Lesson Title M07.B-E.1.1 Use properties of operations to generate equivalent expressions. M07.B- E Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. MPA-047 Adding Integers with Like Signs

7 M07.B-E.2 M07.B-E.2.1 DESCRIPTOR MPA-050 Subtracting Integers with Unlike Signs Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities. Solve multi-step realworld and mathematical problems posed with positive and negative rational numbers. Apply properties of operations to calculate with M07.Bnumbers in any E form; convert between forms as appropriate. MM1-355 Lesson Title Solving Multiple-Step Problems MPA-081 Converting Fractions, Decimals, and Percents I MPA-082 Converting Fractions, Decimals, and Percents II MPA-006 Determining Reasonableness of Answers and Appropriate Method of Computation MPA-003 Using Four-Step Plan for Problem Solving MPA-034 Adding and Subtracting Fractions MPA-035 Adding and Subtracting Mixed Numbers with Unlike Denominators

8 MPA-123 Modeling Multiplication and Division of Fractions MPA-036 Multiplying Fractions and Mixed Numbers and Simplifying MPA-037 Dividing Fractions and Mixed Numbers and Simplifying MPA-033 Estimating Computations with Fractions and Mixed Numbers MPA-038 Solving One-Step Equations with Fractions Using Addition and Subtraction MPA-039 Solving One-Step Equations with Fractions Using Multiplication and Division MPA-088 Solving Real-World Problems Involving Percent M07.B-E.2.2 Use variables to represent quantities in a real-world or mathematical problem and construct simple equations and inequalities to solve problems. M07.B- E Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. MPA-100 Solving Two-Step Equations with Positive Coefficients

9 MPA-165 Solving Two-Step Equations with Negative Coefficients MPA-101 Solving Two-Step Equations by Combining Like Terms MPA-170 Solving Equations Using the Distributive Property MPA-175 Solving Equations with Variables on Both Sides MPA-042 Solving Problems Using an Equation MPA-125 Formulating a Possible Problem Situation Given an Equation

10 M07.B- E Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers, and graph the solution set of the inequality. MPA-109 Solving and Graphing Linear Inequalities on a Number Line HA1-105 Translating Word Statements into Inequalities M07.B-E.2.3 M07.C-G Geometry M07.C-G.1 Determine the reasonableness of the answer(s) in problemsolving situations. M07.B- E Determine the reasonableness of answer(s) or interpret the solution(s) in the context of the problem. MPA-006 Determining Reasonableness of Answers and Appropriate Method of Computation Reporting Category Demonstrate an understanding of geometric figures and their properties. DESCRIPTOR Lesson Title M07.C-G.1.1 Describe and apply properties of geometric figures. M07.C- G Solve problems involving scale drawings of geometric figures, including finding length and area. MPA-110 Solving Problems Using Proportions, Scale Drawings, Models, and Maps

11 M07.C- G Identify or describe the properties of all types of triangles based on angle and side measures. MPA-059 Properties of Triangles and Quadrilaterals M07.C- G Use and apply the triangle inequality theorem. MPA-059 Properties of Triangles and Quadrilaterals M07.C- G Describe the twodimensional figures that result from slicing threedimensional figures. MPA-072 Identifying 3-D Figures MPA-106 Identifying a Solid Figure From a Net MPA-107 Constructing Three-Dimensional Figures and Examining Their Dimensions M07.C-G.2 Solve real-world and mathematical problems involving angle measure, circumference, area, surface area, and volume.

12 DESCRIPTOR Lesson Title M07.C-G.2.1 Identify, use, and describe properties of angles and their measures. M07.C- G Identify and use properties of supplementary, complementary, and adjacent angles in a multistep problem to write and solve simple equations for an unknown angle in a figure. MPA-056 Classifying Angles MPA-057 Identifying and Applying Supplementary and Complementary Angles M07.C- G Identify and use properties of angles formed when two parallel lines are cut by a transversal (e.g., angles may include alternate interior, alternate exterior, vertical, corresponding). MPA-057 Identifying and Applying Supplementary and Complementary Angles

13 MPA-105 Determining the Measure of Angles Made by Parallel Lines and a Transversal M07.C-G.2.2 Determine circumference, area, surface area, and volume. M07.C- G Find the area and circumference of a circle. Solve problems involving area and circumference of a circle(s). Formulas will be provided. MPA-070 Finding the Circumference of a Circle MPA-071 Finding the Area of a Circle

14 M07.C- G Solve real-world and mathematical problems involving area, volume, and surface area of twoand threedimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Formulas will be provided. MPA-067 Finding the Area of Rectangles and Parallelograms MPA-069 Finding the Area of Triangles and Trapezoids MPA-068 Finding the Area of Irregular Figures MPA-160 Plotting Polygons and Finding the Area MPA-073 Finding the Surface Area of Rectangular Prisms

15 MPA-075 Finding the Volume of Rectangular Prisms M07.D-S Statistics and Probability M07.D-S.1 Reporting Category Use random sampling to draw inferences about a population. DESCRIPTOR Lesson Title M07.D-S.1.1 Use random samples. M07.D- S Determine whether a sample is a random sample given a realworld situation. MPA-385 Collecting Data MPA-840 Interpreting Data M07.D- S Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. MPA-840 Interpreting Data

16 MPA-835 Using Measures of Central Tendency M07.D-S.2 Draw comparative inferences about populations. DESCRIPTOR Lesson Title M07.D-S.2.1 Use statistical measures to compare two numerical data distributions. M07.D- S Compare two numerical data distributions using measures of center and variability. MPA-094 Interpreting and Constructing Line Plots MPA-835 Using Measures of Central Tendency MPA-836 Using Measures of Variation

17 M07.D-S.3 Investigate chance processes and develop, use, and evaluate probability models. DESCRIPTOR Lesson Title M07.D-S.3.1 Predict or determine the likelihood of outcomes. M07.D- S Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (i.e., 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). MPA-090 Finding the Probability of Simple Real-Life Events M07.D-S.3.2 Use probability to predict outcomes. M07.D- S Determine the probability of a chance event given relative frequency. Predict the approximate relative frequency given the probability. MPA-114 Finding the Odds of Events and Experimental Probability from a Math Model

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