Assessment Anchors and Eligible Content


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1 M07.AN The Number System M07.AN.1 M07.AN.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 realworld and mathematical problems involving the four operations with rational numbers. M07.A N Apply properties of operations to add and subtract rational numbers, including realworld contexts. problems involving division of fractions by fractions. MPA006 Lesson Title Determining Reasonableness of Answers and Appropriate Method of Computation MPA003 Using FourStep Plan for Problem Solving MPA002 Adding, Subtracting, Multiplying, and Dividing Whole Numbers MPA053 Adding, Subtracting, Multiplying, and Dividing Integers
2 MPA018 Adding and Subtracting Decimals MPA122 Modeling Multiplication and Division of Decimals HA1062 Adding, Subtracting, Multiplying, and Dividing Real Numbers M07.A N Represent addition and subtraction on a horizontal or vertical number line. MM1580 Adding Integers with Like and Unlike Signs MM1585 Subtracting Integers with Like and Unlike Signs MPA044 Finding Opposite and Absolute Values of Integers MPA047 Adding Integers with Like Signs MPA050 Subtracting Integers with Unlike Signs MPA053 Adding, Subtracting, Multiplying, and Dividing Integers HA1062 Adding, Subtracting, Multiplying, and Dividing Real Numbers
3 M07.A N Apply properties of operations to multiply and divide rational numbers, including realworld contexts; demonstrate that the decimal form of a rational number terminates or eventually repeats. MPA051 Multiplying Integers with Like and Unlike Signs MPA052 Dividing Integers with Like and Unlike Signs MPA053 Adding, Subtracting, Multiplying, and Dividing Integers MPA036 Multiplying Fractions and Mixed Numbers and Simplifying MPA037 Dividing Fractions and Mixed Numbers and Simplifying MPA053 Adding, Subtracting, Multiplying, and Dividing Integers HA1062 Adding, Subtracting, Multiplying, and Dividing Real Numbers
4 M07.AR Ratios and Proportional Relationships M07.AR.1 Reporting Category Demonstrate an understanding of proportional relationships. M07.AR.1.1 DESCRIPTOR Analyze, recognize, and represent proportional relationships and use them to solve realworld 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). MPA078 MPA079 MPA155 MPA080 MPA135 MPA142 MPA110 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. MPA142 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. MPA142 MPA155 MPA135 MPA140 Solving Problems With Linear Functions and Direct Variation Comparing and Converting Rates Determining the Slope of a Line Examining Linear Equations in SlopeIntercept Form M07.A R Use proportional relationships to solve multistep ratio and percent problems. MPA083 Finding Number Given Percent and Total MPA084 Finding Percent Given Number and Total MPA085 Finding Total Given Number and Percent
6 MPA086 Solving Problems Using Percent MPA087 Finding Percent Increase and Decrease MPA126 Solving RealWorld Problems Involving Sales Tax MPA127 MPA128 Solving RealWorld Problems Involving Discounts, Markups, and Commission Solving RealWorld Problems Involving Simple and Compound Interest M07.BE Expressions and Equations M07.BE.1 MPA088 Solving RealWorld Problems Involving Percent Reporting Category Represent expressions in equivalent forms. DESCRIPTOR Lesson Title M07.BE.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. MPA047 Adding Integers with Like Signs
7 M07.BE.2 M07.BE.2.1 DESCRIPTOR MPA050 Subtracting Integers with Unlike Signs Solve realworld and mathematical problems using numerical and algebraic expressions, equations, and inequalities. Solve multistep 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. MM1355 Lesson Title Solving MultipleStep Problems MPA081 Converting Fractions, Decimals, and Percents I MPA082 Converting Fractions, Decimals, and Percents II MPA006 Determining Reasonableness of Answers and Appropriate Method of Computation MPA003 Using FourStep Plan for Problem Solving MPA034 Adding and Subtracting Fractions MPA035 Adding and Subtracting Mixed Numbers with Unlike Denominators
8 MPA123 Modeling Multiplication and Division of Fractions MPA036 Multiplying Fractions and Mixed Numbers and Simplifying MPA037 Dividing Fractions and Mixed Numbers and Simplifying MPA033 Estimating Computations with Fractions and Mixed Numbers MPA038 Solving OneStep Equations with Fractions Using Addition and Subtraction MPA039 Solving OneStep Equations with Fractions Using Multiplication and Division MPA088 Solving RealWorld Problems Involving Percent M07.BE.2.2 Use variables to represent quantities in a realworld 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. MPA100 Solving TwoStep Equations with Positive Coefficients
9 MPA165 Solving TwoStep Equations with Negative Coefficients MPA101 Solving TwoStep Equations by Combining Like Terms MPA170 Solving Equations Using the Distributive Property MPA175 Solving Equations with Variables on Both Sides MPA042 Solving Problems Using an Equation MPA125 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. MPA109 Solving and Graphing Linear Inequalities on a Number Line HA1105 Translating Word Statements into Inequalities M07.BE.2.3 M07.CG Geometry M07.CG.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. MPA006 Determining Reasonableness of Answers and Appropriate Method of Computation Reporting Category Demonstrate an understanding of geometric figures and their properties. DESCRIPTOR Lesson Title M07.CG.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. MPA110 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. MPA059 Properties of Triangles and Quadrilaterals M07.C G Use and apply the triangle inequality theorem. MPA059 Properties of Triangles and Quadrilaterals M07.C G Describe the twodimensional figures that result from slicing threedimensional figures. MPA072 Identifying 3D Figures MPA106 Identifying a Solid Figure From a Net MPA107 Constructing ThreeDimensional Figures and Examining Their Dimensions M07.CG.2 Solve realworld and mathematical problems involving angle measure, circumference, area, surface area, and volume.
12 DESCRIPTOR Lesson Title M07.CG.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. MPA056 Classifying Angles MPA057 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). MPA057 Identifying and Applying Supplementary and Complementary Angles
13 MPA105 Determining the Measure of Angles Made by Parallel Lines and a Transversal M07.CG.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. MPA070 Finding the Circumference of a Circle MPA071 Finding the Area of a Circle
14 M07.C G Solve realworld 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. MPA067 Finding the Area of Rectangles and Parallelograms MPA069 Finding the Area of Triangles and Trapezoids MPA068 Finding the Area of Irregular Figures MPA160 Plotting Polygons and Finding the Area MPA073 Finding the Surface Area of Rectangular Prisms
15 MPA075 Finding the Volume of Rectangular Prisms M07.DS Statistics and Probability M07.DS.1 Reporting Category Use random sampling to draw inferences about a population. DESCRIPTOR Lesson Title M07.DS.1.1 Use random samples. M07.D S Determine whether a sample is a random sample given a realworld situation. MPA385 Collecting Data MPA840 Interpreting Data M07.D S Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. MPA840 Interpreting Data
16 MPA835 Using Measures of Central Tendency M07.DS.2 Draw comparative inferences about populations. DESCRIPTOR Lesson Title M07.DS.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. MPA094 Interpreting and Constructing Line Plots MPA835 Using Measures of Central Tendency MPA836 Using Measures of Variation
17 M07.DS.3 Investigate chance processes and develop, use, and evaluate probability models. DESCRIPTOR Lesson Title M07.DS.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). MPA090 Finding the Probability of Simple RealLife Events M07.DS.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. MPA114 Finding the Odds of Events and Experimental Probability from a Math Model
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