| A | B | C | D | E | F | G | |
|---|---|---|---|---|---|---|---|
1 | Unit | Goal | Lesson | Topic | Skills | CCSS-Math | Grade Level at which EdReady Skills are Introduced |
2 | |||||||
3 | 1 | Whole Numbers | |||||
4 | Introduction to Whole Numbers | ||||||
5 | Place Value and Names for Whole Numbers | a. Find the place value of a digit in a whole number. b. Write a whole number in words and in standard form. c. Write a whole number in expanded form. | 02.NBT.A.1 02.NBT.A.3 04.NBT.A.2 08.MP.1 | 4 | |||
6 | Rounding Whole Numbers | a. Learn the rules for rounding. b. Round whole numbers to specific place values, including tens, hundreds, and thousands. | 03.NBT.A.1 04.NBT.A.3 08.MP.1 | 4 | |||
7 | Comparing Whole Numbers | a. Use > or < to compare whole numbers. | 02.NBT.A.4 04.NBT.A.2 08.MP.1 | 4 | |||
8 | Adding and Subtracting Whole Numbers | ||||||
9 | Adding Whole Numbers and Applications | a. Add whole numbers without regrouping. b. Add whole numbers with regrouping. c. Find the perimeter of a polygon. d. Solve application problems using addition. | 03.MD.D.8 04.NBT.B.4 04.0A.A.3 08.MP.1 | 4 | |||
10 | Subtracting Whole Numbers and Applications | a. Subtract whole numbers without regrouping. b. Subtract whole numbers with regrouping. c. Solve application problems using subtraction. | 04.NBT.B.4 04.0A.A.3 08.MP.1 | 4 | |||
11 | Estimation | a. Use rounding to estimate sums and differences. b. Use rounding to estimate the solutions for application problems. | 03.OA.D.8 04.OA.A.3 08.MP.1 HS.N.Q.A.3 | 4 | |||
12 | Multiplying and Dividing Whole Numbers | ||||||
13 | Multiplying Whole Numbers and Applications | a. Use three different ways to represent multiplication. b. Multiply whole numbers. c. Multiply whole numbers by a power of 10. d. Use rounding to estimate products. e. Find the area of a rectangle. f. Solve application problems using multiplication. | 03.OA.A.1 03.OA.C.7 03.OA.D.8 03.MD.C.7 04.OA.A.3 05.NBT.A.2 08.MP.1 HS.N.Q.A.3 | 4 | |||
14 | Dividing Whole Numbers and Applications | a. Use three different ways to represent division. b. Divide whole numbers. c. Perform long division. d. Divide whole numbers by a power of 10. e. Recognize that division by 0 is not defined. f. Solve application problems using division. | 03.OA.A.1 03.OA.C.7 04.OA.A.3 04.NBT.B.6 05.NBT.A.2 08.MP.1 | 4 | |||
15 | Properties of Whole Numbers | ||||||
16 | Properties of Laws and Whole Numbers | a. Simplify by using the addition property of 0. b. Simplify by using the multiplication property of 1. c. Identify and use the commutative law of addition. d. Identify and use the commutative law of multiplication. e. Identify and use the associative law of addition. f. Identify and use the associative law of multiplication. | 01.OA.B.3 03.OA.B.5 08.MP.1 | 4 | |||
17 | The Distributive Property | a. Simplify using the distributive property of multiplication over addition. b. Simplify using the distributive property of multiplication over subtraction. | 03.OA.B.5 08.MP.1 | 4 | |||
18 | Exponents, Square Roots, and Order of Operations | ||||||
19 | Understanding Exponents and Square Roots | a. Evaluate expressions containing exponents. b. Write repeated factors using exponential notation. c. Find a square root of a perfect square. | 06.EE.A.1 08.EE.A.2 08.MP.1 | 6 | |||
20 | Order of Operations | a. Use the order of operations to simplify expressions, including those with parentheses. b. Use the order of operations to simplify expressions containing exponents and square roots. | 05.OA.A.1 06.EE.A.2 08.EE.A.2 08.MP.1 | 6 | |||
21 | 2 | Fractions and Mixed Numbers | |||||
22 | Introduction to Fractions and Mixed Numbers | ||||||
23 | Introduction to Fractions and Mixed Numbers | a. Identify the numerator and denominator of a fraction. b. Represent a fraction as part of a whole or part of a set. | 03.NF.A.1 08.MP.1 | 4 | |||
24 | Proper and Improper Fractions | a. Identify proper and improper fractions. b. Change improper fractions to mixed numbers. c. Change mixed numbers to improper fractions. | 04.NF.B 08.MP.1 | 4 | |||
25 | Factors and Primes | a. Recognize (by using the divisibility rule) if a number is divisible by 2, 3, 4, 5, 6, 9, or 10. b. Find the factors of a number. c. Determine whether a number is prime, composite, or neither. d. Find the prime factorization of a number. | 04.OA.B.4 08.MP.1 | 4 | |||
26 | Simplifying Fractions | a. Find an equivalent fraction with a given denominator. b. Simplify a fraction to lowest terms. | 03.NF.A.3 04.NF.A.1 04.NF.A.2 08.MP.1 | 4 | |||
27 | Comparing Fractions | a. Determine whether two fractions are equivalent. b. Use > or < to compare fractions. | 03.NF.A.3 04.NF.A.1 04.NF.A.2 08.MP.1 | 4 | |||
28 | Multiplying and Dividing Fractions and Mixed Numbers | ||||||
29 | Multiplying Fractions and Mixed Numbers | a. Multiply two or more fractions. b. Multiply a fraction by a whole number. c. Multiply two or more mixed numbers. d. Solve application problems that require multiplication of fractions or mixed numbers. | 04.NF.B.4 05.NF.B.4 05.NF.B.6 08.MP.1 | 5 | |||
30 | Dividing Fractions and Mixed Numbers | a. Find the reciprocal of a number. b. Divide two fractions. c. Divide two mixed numbers. d. Divide fractions, mixed numbers, and whole numbers. e. Solve application problems that require division of fractions or mixed numbers. | 05.NF.B.7 06.NS.A.1 08.MP.1 | 5 | |||
31 | Adding and Subtracting Fractions and Mixed Numbers | ||||||
32 | Adding Fractions and Mixed Numbers | a. Add fractions with like denominators. b. Find the least common multiple (LCM) of two or more numbers. c. Find the common denominator of fractions with unlike denominators. d. Add fractions with unlike denominators. e. Add mixed numbers with like and unlike denominators. f. Solve application problems that require the addition of fractions or mixed numbers. | 04.OA.B.4 04.NF.B.3 04.NF.B.4 05.NF.A.1 05.NF.A.2 08.MP.1 | 5 | |||
33 | Subtracting Fractions and Mixed Numbers | a. Subtract fractions with like and unlike denominators. b. Subtract mixed numbers without regrouping. c. Subtract mixed numbers with regrouping. d. Solve application problems that require the subtraction of fractions or mixed numbers. | 04.NF.B.3 05.NF.A.1 05.NF.A.2 08.MP.1 | 5 | |||
34 | 3 | Decimals | |||||
35 | Introduction to Decimals | ||||||
36 | Decimals and Fractions | a. Read and write numbers in decimal notation. b. Write decimals as fractions. c. Write fractions as decimals. | 04.NF.C.6 08.MP.1 | 4 | |||
37 | Ordering and Rounding Decimals | a. Use a number line to assist with comparing decimals. b. Compare decimals, beginning with their digits from left to right. c. Use < or > to compare decimals. d. Round a given decimal to a specified place. | 04.NF.C.6 04.NF.C.7 05.NBT.A.3 05.NBT.A.4 08.MP.1 | 5 | |||
38 | Decimal Operations | ||||||
39 | Adding and Subtracting Decimals | a. Add two or more decimals. b. Subtract two or more decimals, with and without regrouping. c. Solve application problems that require decimal addition or subtraction. | 04.MD.A.2 05.NBT.B.7 06.NS.B.3 08.MP.1 | 5 | |||
40 | Multiplying and Dividing Decimals | a. Multiply two or more decimals. b. Multiply a decimal by a power of 10. c. Divide by a decimal. d. Divide a decimal by a power of 10. e. Solve application problems that require decimal multiplication or division. | 04.MD.A.2 05.NBT.A.2 05.NBT.B.7 06.NS.B.3 08.MP.1 | 5 | |||
41 | Estimation with Decimals | a. Estimate the answer to a decimal problem. | 07.EE.B.3 08.MP.1 HS.N.Q.A.3 | 7 | |||
42 | 4 | Ratios, Rates and Proportions | |||||
43 | Ratio and Rates | ||||||
44 | Simplifying Ratios and Rates | a. Write ratios and rates as fractions in simplest form. b. Find unit rates. c. Find unit prices. | 06.RP.A.1 06.RP.A.2 06.RP.A.3 07.RP.A.1 08.MP.1 | 6 | |||
45 | Proportions | ||||||
46 | Understanding proportions | a. Determine whether a proportion is true or false. b. Find an unknown in a proportion. c. Solve application problems using proportions. | 06.RP.A.3 07.RP.A.2 07.RP.A.3 08.MP.1 | 7 | |||
47 | 5 | Percents | |||||
48 | Introduction to Percents | ||||||
49 | Convert Percents, Decimals and Fractions | a. Describe the meaning of percent. b. Represent a number as a decimal, percent, and fraction. | 06.RP.A.3 08.MP.1 | 6 | |||
50 | Solving Percent Problems | ||||||
51 | Solve Percent Problems | a. Identify the amount, the base, and the percent in a percent problem. b. Find the unknown in a percent problem. | 07.RP.A.3 08.MP.1 | 7 | |||
52 | 6 | Measurement | |||||
53 | U.S. Customary Units of Measurement | ||||||
54 | Length | a. Define units of length and convert from one to another. b. Perform arithmetic calculations on units of length. c. Solve application problems involving units of length. | 02.MD.A.3 04.MD.A.1 08.MP.1 HS.N.Q.A.1 | 4 | |||
55 | Weight | a. Define units of weight and convert from one to another. b. Perform arithmetic calculations on units of weight. c. Solve application problems involving units of weight. | 04.MD.A.1 08.MP.1 HS.N.Q.A.1 | 4 | |||
56 | Capacity | a. Define units of capacity and convert from one to another. b. Perform arithmetic calculations on units of capacity. c. Solve application problems involving units of capacity. | 03.MD.A.2 04.MD.A.2 05.MD.C.5 08.MP.1 HS.N.Q.A.1 | 4 | |||
57 | Metric Units of Measurement | ||||||
58 | The Metric System | a. Describe the general relationship between the U.S. customary units and metric units of length, weight/mass, and volume. b. Define the metric prefixes and use them to perform basic conversions among metric units. | 04.MD.A.1 08.MP.1 HS.N.Q.A.1 | 4 | |||
59 | Converting within the Metric System | a. Perform arithmetic calculations on metric units of length, mass, and volume. | 03.MD.A.2 04.MD.A.2 08.MP.1 | 4 | |||
60 | Using Metric Conversions to Solve Problems | a. Solve application problems involving metric units of length, mass, and volume. | 05.MD.C.5 08.MP.1 | 5 | |||
61 | Temperature | ||||||
62 | Temperature Scales | a. State the freezing and boiling points of water on the Celsius and Fahrenheit temperature scales. b. Convert from one temperature scale to the other, using conversion formulas. | 05.MD.A.1 06.NS.C.5 08.MP.1 | 5 | |||
63 | 7 | Geometry | |||||
64 | Basic Geometric Concepts and Figures | ||||||
65 | Figures in 1 and 2 Dimensions | a. Identify and define points, lines, line segments, rays, and planes. b. Classify angles as acute, right, obtuse, or straight. | 04.MD.C.5 04.G.A.1 05.G.A.1 05.G.A.2 HS.G.CO.A.1 | 4 | |||
66 | Properties of Angles | a. Identify parallel and perpendicular lines. b. Find measures of angles. c. Identify complementary and supplementary angles. | 04.MD.C.6 04.G.A.1 04.G.A.2 07.G.B.5 HS.G.CO.A.1 | 4 | |||
67 | Triangles | a. Identify equilateral, isosceles, scalene, acute, right, and obtuse triangles. b. Identify whether triangles are similar, congruent, or neither. c. Identify corresponding sides of congruent and similar triangles. d. Find the missing measurements in a pair of similar triangles. e. Solve application problems involving similar triangles. | 04.G.A.1 04.G.A.2 07.G.B.6 08.G.A.1 08.G.A.2 08.G.A.4 08.G.A.5 HS.G.CO.A.1 HS.G.CO.B.7 HS.G.CO.C.10 HS.G.SRT.A.2 HS.G.SRT.B.5 | HSG | |||
68 | The Pythagorean Theorem | a. Use the Pythagorean Theorem to find the unknown side of a right triangle. b. Solve application problems involving the Pythagorean Theorem. | 08.G.B.7 HS.G.CO.A.1 HS.G.SRT.B.8 | 8 | |||
69 | Perimeter, Circumference, and Area | ||||||
70 | Quadrilaterals | a. Identify properties, including angle measurements, of quadrilaterals. | 02.G.A.1 03.G.A.1 | 4 | |||
71 | Perimeter and Area | a. Find the perimeter of a polygon. b. Find the area of a polygon. c. Find the area and perimeter of non-standard polygons. | 03.MD.D.8 04.MD.A.3 06.G.A.1 07.G.B.6 HS.G.CO.A.1 | 6 | |||
72 | Circles | a. Identify properties of circles. b. Find the circumference of a circle. c. Find the area of a circle. d. Find the area and perimeter of composite geometric figures. | 07.G.B.4 07.G.B.6 HS.G.CO.A.1 | 7 | |||
73 | Volume of Geometric Solids | ||||||
74 | Solids | a. Identify geometric solids. b. Find the volume of geometric solids. c. Find the volume of a composite geometric solid. | K.G.A.3 05.MD.C.5 07.G.B.6 08.G.C.9 HS.G.GMD.A.3 | 5 | |||
75 | 8 | Concepts in Statistics | |||||
76 | Statistical Graphs and Tables | ||||||
77 | Graphing Data | a. Read and interpret data from tables and pictographs. b. Read and interpret data from bar graphs and histograms | 05.MD.B.2 06.SP.B.4 07.SP.C.8 08.SP.A.1 08.SP.A.4 HS.N.Q.A.1 HS.S.ID.A.1 HS.S.ID.A.3 HS.S.ID.B.5 | 6 | |||
78 | Other Types of Graphs | a. Read and interpret data from circle graphs (pie charts). b. Read and interpret data from simple line graphs. c. Read and interpret data from stem and leaf displays. | 06.SP.B.4 08.SP.A.1 08.SP.A.2 HS.N.Q.A.1 HS.S.ID.A.1 | 6 | |||
79 | Measures of Center | ||||||
80 | Measures of Center | a. Find the mean, median and mode of a set of numbers. b. Find the range and midrange of a data set. c. Read and interpret data from box-and-whisker plots. d. Solve application problems that require the calculation of the mean, median, range, or midrange. | 06.SP.A.2 06.SP.A.3 06.SP.B.5 07.SP.A.2 07.SP.B.4 08.SP.A.1 HS.S.ID.A.2 | 6 | |||
81 | Graphical Representations | ||||||
82 | Graphical Representations | a. Identify which type of graph best represents the data for a given situation. b. Explain how graphs can lead to misinterpretation of data. | 07.SP.B.3 HS.N.Q.A.1 HS.S.ID.A.3 HS.S.IC.B.6 | HSA1 | |||
83 | Probability | ||||||
84 | Probability | a. Define event, outcome, trial, simple event, sample space and calculate the probability that an event will occur. b. Calculate the probability of events for more complex outcomes. c. Solve applications involving probabilities. | 07.SP.C.6 07.SP.C.7 07.SP.C.8 HS.S.IC.A.2 HS.S.CP.B.8 HS.S.CP.B.9 HS.S.MD.B.5 | 7 | |||
85 | 9 | Real Numbers | |||||
86 | Introduction to Real Numbers | ||||||
87 | Variables and Expressions | a. Evaluate expressions with one variable for given values for the variable. b. Evaluate expressions with two variables for given values for the variables. | 06.EE.A.2 06.EE.B.6 06.EE.C.9 08.EE.C.7 HS.A.CED.A.2 | 6 | |||
88 | Integers | a. Locate integers on a number line. b. Find the absolute value of a given number. c. Find the opposite of a given number. | 06.NS.C.6 06.NS.C.7 07.NS.A.1 | 6 | |||
89 | Rational and Real Numbers | a. Identify the subset(s) of the real numbers that a given number belongs to. b. Locate points on a number line. c. Compare rational numbers. d. Identify rational and irrational numbers. | 06.NS.C.6 06.NS.C.7 08.NS.A.1 08.NS.A.2 HS.N.RN.B.3 | 8 | |||
90 | Operations with Real Numbers | ||||||
91 | Adding Integers | a. Add two or more integers with the same sign. b. Add two or more integers with different signs. | 06.NS.C.5 07.EE.B.3 | 7 | |||
92 | Adding Real Numbers | a. Add two or more real numbers with the same sign. b. Add two or more real numbers with different signs. c. Simplify by using the identity property of 0. d. Solve application problems requiring the addition of real numbers. | HS.N.RN.B.3 | 8 | |||
93 | Subtracting Real Numbers | a. Subtract two or more real numbers. b. Simplify combinations that require both addition and subtraction of real numbers. c. Solve application problems requiring subtraction of real numbers. | 07.NS.A.1 HS.N.RN.B.3 | 8 | |||
94 | Multiplying and Dividing Real Numbers | a. Multiply two or more real numbers. b. Simplify by using the identity property of 1. c. Divide real numbers. d. Solve application problems requiring the multiplication or division of real numbers. | HS.N.RN.B.3 | 8 | |||
95 | Properties of Real Numbers | ||||||
96 | Associative, Commutative and Distributive Laws | a. Identify and use the commutative properties for addition and multiplication. b. Identify and use the associative properties for addition and multiplication. c. Identify and use the distributive property. | 06.EE.A.3 07.NS.A.2 HS.N.RN.B.3 | 8 | |||
97 | Simplifying Expressions | ||||||
98 | Order of Operations | a. Use the order of operations to simplify expressions. b. Simplify expressions containing absolute values. | 07.NS.A.1 07.NS.A.2 07.NS.A.3 07.EE.A.1 07.EE.B.4 | 7 | |||
99 | 10 | Solving Equations and Inequalities | |||||
100 | Solving Equations |