Everyday Mathematics Grade 5
Learning Goals Mapped to Indiana Academic Standards and ISTEP+ Questions
(TIP: Scroll to the far right to see ISTEP+ Questions)
Unit 1 Number Theory
Unit 2 Estimation and Computation
Unit 3 Geometry Explorations and the American Tour
Unit 4 Division
Unit 5 Fractions, Decimals, and Percents
Unit 6 Using Data, Addition and Subtraction of Fractions
Unit 7 Exponents and Negative Numbers
Unit 8 Fractions and Ratios
Unit 9 Coordinates, Area, Volume, and Capacity
Unit 10 Algebra Concepts and Skills
Unit 11 Volume
Unit 12 Probability, Ratios, and Rates
Unit 1 Number Theory [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 1 | a | B | Find the prime factorization of numbers (Lesson 1.9) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| 1 | b | BD | Rename numbers written in exponential notation (Lessons 1.7 - 1.9) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| 1 | c | DS | Use a divisibility test to determine if a number is divisible by another number (Lesson 1.5) | 5.2.1 | Solve problems involving multiplication and division of any whole numbers. | ISTEP+ T1 Pt 2 #1-4 |
| 1 | d | DS | Identify prime and composite numbers (Lessons 1.6, 1.9) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| 1 | e | DS | Understand how square numbers and their square roots are related (Lesson 1.8) | |||
| 1 | f | S | Draw arrays to model multiplication (Lesson 1.2, 1.7) | |||
| 1 | g | S | Know basic multiplication facts (Lessons 1.2 - 1.9) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| 4.2.4 | Demonstrate mastery of the multiplication tables for numbers between 1 and 10 and of the corresponding division facts. | |||||
| 4.2.5 | Use a standard algorithm to multiply numbers up to 100 by numbers up to 10, using relevant properties of the number system. | |||||
| 1 | h | S | Identify even and odd numbers (Lessons 1.4, 1.5) | 3.1.7 | Identify odd and even numbers up to 1,000 and describe their characteristics. | |
| 1 | i | S | List the factors of a number (Lessons 1.3, 1.4, 1.6, 1.9) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
Unit 2 Estimation and Computation [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 2 | a | B | Write and solve open sentences for number stories (Lesson 2.4) | 5.1.3 | Arrange in numerical order and compare whole numbers or decimals to two decimal places by using the symbols for less than (<), equals (=), and greater than (>). | ISTEP+ T1 Pt 1 #7-10 |
| 5.5.7 | Add and subtract with money in decimal notation. | ISTEP+ T1 #2 | ||||
| 5.2.5 | Add and subtract decimals and verify the reasonableness of the results. | ISTEP+ T1 Pt 2 #8-11 | ||||
| 5.3.1 | Use a variable to represent an unknown number. | ISTEP+ T1 #1 | ||||
| 2 | b | D | Round numbers to designated places (Lessons 2.7) | 5.1.2 | Round whole numbers and decimals to any place value. | ISTEP+ T1 Pt 1 #3-6 |
| 2 | c | DS | Make magnitude estimates (Lessons 2.7) | |||
| 2 | d | DS | Find the product of multi-digit whole numbers and decimals (Lesson 2.8, 2.9) | 5.2.1 | Solve problems involving multiplication and division of any whole numbers. | ISTEP+ T1 Pt 2 #1-4 |
| 2 | e | DS | Know place value to billions (Lesson 2.10) | 5.1.1 | Convert between numbers in words and numbers in figures, for numbers up to millions and decimals to thousandths. | ISTEP+ T1 Pt 1 #1-2 |
| 2 | f | S | Find the sum and difference of multi-digit whole numbers and decimals (Lessons 2.2, 2.3) | 5.2.5 | Add and subtract decimals and verify the reasonableness of the results. | ISTEP+ T1 Pt 2 #8-11 |
| 5.2.7 | Use mental arithmetic to add or subtract simple decimals. | |||||
| 2 | g | S | Identify the maximum, minimum, median, mode, and mean for a data set (Lessons 2.5) | 5.2.5 | Add and subtract decimals and verify the reasonableness of the results. | ISTEP+ T1 Pt 2 #8-11 |
| 5.6.2 | Find the mean, median, mode, and range of a set of data and describe what each does and does not tell about the data set. | ISTEP+ T1 #3-6 | ||||
| No learning goal mapped to this lesson | 5.6.4 | Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4, 3/4). | ISTEP+ T1 #8-11 | |||
Unit 3 Geometry Explorations and the American Tour [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 3 | a | D | Determine angle measures based on relationships between angles (Lesson 3.3 - 3.5, 3.9) | 5.4.1 | Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, triangles, and circles by using appropriate tools (e.g., ruler, compass, protractor, appropriate technology, media tools). | ISTEP+ T3 #1-2 |
| 3 | b | DS | Estimate the measure of an angle (Lessons 3.6, 3.8) | |||
| 3 | c | DS | Measure an angle to within 2 degrees (Lesson 3.4, 3.9) | 5.4.1 | Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, triangles, and circles by using appropriate tools (e.g., ruler, compass, protractor, appropriate technology, media tools). | ISTEP+ T3 #1-2 |
| 3 | d | DS | Identify types of angles (Lessons 3.4, 3.5) | 5.4.1 | Measure, identify, and draw angles, perpendicular and parallel lines, rectangles, triangles, and circles by using appropriate tools (e.g., ruler, compass, protractor, appropriate technology, media tools). | ISTEP+ T3 #1-2 |
| 3 | e | DS | Identify types of triangles (Lessons 3.6) | 5.4.2 | Identify, describe, draw, and classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, and equiangular. | ISTEP+ T3 #3-6 |
| 5.4.3 | Identify congruent triangles and justify your decisions by referring to sides and angles. | ISTEP+ T3 #7 | ||||
| 3 | f | S | Identify place value in numbers to billions (Lesson 3.2) | 5.1.1 | ISTEP+ T1 Pt 2 #8-11 | |
| 3 | g | S | Know properties of polygons (Lesson 3.7) | 5.4.4 | Identify, describe, draw, and classify polygons, such as pentagons and hexagons. | ISTEP+ T3 #8-11 |
| 3 | h | S | Define and create tessellations (Lesson 3.8) | |||
| Lesson 3.5 No learning goal mapped to this lesson | 5.4.5 | Identify and draw the radius and diameter of a circle and understand the relationship between the radius and diameter. | ISTEP+ T3 #12-14 | |||
Unit 4 Division [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 4 | a | B | Divide decimal numbers by whole numbers with no remainders (Lessons 4.4, 4.5) | |||
| 4 | b | B | Write and solve number sentences with variables for division number stories (Lessons 4.5, 4.6) | |||
| 4 | c | D | Find the quotient and remainder of a whole number divided by a 1-digit whole number (Lessons 4.1, 4.2, 4.4, 4.5) | |||
| 4 | d | D | Find the quotient and remainder of a whole number divided by a 2-digit whole number (Lessons 4.2, 4.4, 4.5) | |||
| 4 | e | D | Make magnitude estimates for quotients of whole and decimal numbers divided by whole numbers (Lessons 4.4, 4.5) | |||
| 4 | f | D | Interpret the remainder in division number stories (Lesson 4.5) | |||
| 4 | g | D | Determine the value of a variable; use this value to complete a number sentence (Lesson 4.6) | |||
| 4 | h | S | Know place value to hundredths (Lesson 4.1) | 5.2.1 | Solve problems involving multiplication and division of any whole numbers. | ISTEP+ T1 Pt 2 #1-4 |
| 5.2.6 | Use estimation to decide whether answers are reasonable in addition, subtraction, multiplication, and division problems. | ISTEP+ T1 Pt 2 #5-6 | ||||
Unit 5 Fractions, Decimals, and Percents [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 5 | a | BD | Add fractions with like denominators (Lesson 5.3) | |||
| 5 | b | D | Order and compare fractions (Lesson 5.3) | |||
| 5 | c | D | Convert between fractions and percents (Lessons 5.8) | 5.1.4 | Interpret percents as a part of a hundred. Find decimal and percent equivalents for common fractions and explain why they represent the same value. | ISTEP+ T4 #1-2 |
| 5 | d | D | Draw a circle graph for a set of data (Lesson 5.11) | |||
| 5 | e | D | Measure pieces of a circle graph; interpret a circle graph (Lesson 5.10) | 5.5.6 | Compare temperatures in Celsius and Fahrenheit, knowing that the freezing point of water is 0°C and 32°F and that the boiling point is 110°C and 212°F. | ISTEP+ T4 #9-10 |
| 5 | f | DS | Convert between fractions and mixed numbers (Lessons 5.2) | 5.1.5 | Explain different interpretations of fractions: as parts of a whole, parts of a set, and division of whole numbers by whole numbers. | ISTEP+ T4 #3-4 |
| 5 | g | DS | Find equivalent fractions (Lesson 5.4) | 5.1.4 | Interpret percents as a part of a hundred. Find decimal and percent equivalents for common fractions and explain why they represent the same value. | ISTEP+ T4 #1-2 |
| Lesson 5.1 No learning goal mapped to this lesson | 5.1.5 | Explain different interpretations of fractions: as parts of a whole, parts of a set, and division of whole numbers by whole numbers. | ISTEP+ T4 #3-4 | |||
| Lesson 5.6 No learning goal mapped to this lesson | 5.1.7 | Identify on a number line the relative position of simple positive fractions, positive mixed numbers, and positive decimals. | ISTEP+ T4 #5-8 | |||
Unit 6 Using Data; Addition and Subtraction of Fractions [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 6 | a | BD | Construct stem-and-leaf plots (Lessons 6.3) | |||
| 6 | b | BD | Read and interpret stem-and-leaf plots (Lessons 6.4) | |||
| 6 | c | D | Add and subtract fractions with common denominators (Lessons 6.8 -6.10) | |||
| 6 | d | D | Add and subtract fractions with unlike denominators (Lessons 6.8 - 6.10) | 5.2.2 | Add and subtract fractions (including mixed numbers) with different denominators. | ISTEP+ T5 #2-5 |
| 6 | e | D | Understand how sample size affects results (Lessons 6.5) | |||
| 6 | f | D | Find a common denominator (Lessons 6.9, 6.10) | |||
| 6 | g | DS | Convert among fractions, decimals, and percents (Lessons 6.5, 6.8, 6.10) | 5.1.4 | Interpret percents as a part of a hundred. Find decimal and percent equivalents for common fractions and explain why they represent the same value. | ISTEP+ T4 #1-4 |
| 6 | h | S | Find and use data landmarks (Lessons 6.1, 6.5, 6.6) | 5.6.2 | Find the mean, median, mode, and range of a set of data and describe what each does and does not tell about the data set. | ISTEP+ T2 #3-6 |
| 5.6.1 | Explain which types of displays are appropriate for various sets of data. | ISTEP+ T5 #1 | ||||
Unit 7 Exponents and Negative Numbers [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 7 | a | BD | Understand and apply scientific notation (Lesson 7.3) | |||
| 7 | b | D | Understand and apply powers of 10 (Lesson 7.2) | |||
| 7 | c | D | Understand and apply order of operations to evaluate expressions and solve number sentences (Lesson 7.5) | |||
| 7 | d | D | Add and subtract positive and negative numbers (Lesson 7.7 - 7.10) | |||
| 7 | e | DS | Understand and apply exponential notation (Lesson 7.1, 7.2) | |||
| 7 | f | DS | Identify number sentences; tell whether a number sentence is true or false (Lesson 7.4) | 5.7.1 | Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. | |
| 7 | g | DS | Understand and apply the use of parentheses in number sentences (Lesson 7.4) | |||
| 7 | h | DS | Order and compare positive and negative numbers (Lesson 7.6) | |||
Unit 8 Fractions and Ratios [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 8 | a | B | Use an algorithm to multiply mixed numbers (Lessons 8.8) | 5.2.4 | Multiply and divide fractions to solve problems. | ISTEP+ T5 #6 |
| 8 | b | D | Use an algorithm to multiply fractions (Lessons 8.5 - 8.7, 8.9) | 5.2.3 | Use models to show an understanding of multiplication and division of fractions. | ISTEP+ T5 #7-8 |
| 8 | c | D | Use an algorithm to subtract mixed numbers with like denominators (Lessons 8.3) | |||
| 8 | d | D | Find a percent of a number (Lessons 8.9 - 8.11) | |||
| 8 | e | DS | Use an algorithm to add mixed numbers (Lesson 8.2, 8.4) | 5.2.2 | Add and subtract fractions (including mixed numbers) with different denominators. | ISTEP+ T5 #2-5 |
| 8 | f | DS | Order and compare fractions (Lessons 8.1, 8.2, 8.12) | 5.2.4 | Multiply and divide fractions to solve problems. | ISTEP+ T5 #6 |
| 8 | g | S | Convert among fractions, decimals, and percents (Lessons 8.8, 8.9) | 5.2.4 | Multiply and divide fractions to solve problems. | ISTEP+ T5 #6 |
| 8 | h | S | Convert between fractions and mixed or whole numbers (Lessons 8.2, 8.3, 8.8) | 5.2.2 | Add and subtract fractions (including mixed numbers) with different denominators. | ISTEP+ T5 #2-5 |
| 8 | i | S | Find common denominators (Lessons 8.1, 8.2, 8.4, 8.12) | |||
Unit 9 Coordinates, Area, Volume, and Capacity [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 9 | a | D | Plot ordered pairs on a four-quadrant coordinate grid (Lessons 9.3) | 5.3.4 | Identify and graph ordered pairs of positive numbers. | ISTEP+ T6 #1 |
| 9 | b | D | Understand the concept of volume of a figure (Lesson 9.8 - 9.10) | |||
| 9 | c | D | Use a formula to find the volume of prisms (Lesson 9.8, 9.9) | |||
| 9 | d | DS | Plot ordered pairs on a one-quadrant coordinate grid (Lessons 9.1 - 9.3) | 5.3.4 | Identify and graph ordered pairs of positive numbers. | ISTEP+ T6 #1 |
| 9 | e | DS | Identify the base and height of triangles and parallelograms (Lessons 9.4 - 9.6) | 5.5.1 | Understand and apply the formulas for the area of a triangle, parallelogram, and trapezoid. | ISTEP+ T6 #5-6 |
| 9 | f | DS | Use a formula to find the area of triangles and parallelograms (Lessons 9.6) | 5.5.1 | Understand and apply the formulas for the area of a triangle, parallelogram, and trapezoid. | ISTEP+ T6 #5-6 |
| 9 | g | S | Understand the concept of area of a figure (Lessons 9.4 - 9.6) | 5.5.1 | Understand and apply the formulas for the area of a triangle, parallelogram, and trapezoid. | ISTEP+ T6 #5-6 |
| 9 | h | S | Use a formula to find the area of rectangles (Lessons 9.4) | 5.5.2 | Solve problems involving perimeters and areas of rectangles, triangles, parallelograms, and trapezoids, using appropriate units. | ISTEP+ T6 #4, 7-8 |
| 5.5.3 | Use formulas for the areas of rectangles and triangles to find the area of complex shapes by dividing them into basic shapes. | ISTEP+ T6 #9 | ||||
| Lesson 9.3 | 5.4.6 | Identify shapes
that have reflectional |
ISTEP+ T6 #3-4 | |||
Unit 10 Algebra Concepts and Skills [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 10 | a | B | Solve two-step pan-balance problems (Lesson 10.2, 10.5) | |||
| 10 | b | D | Write algebraic expressions to describe situations (Lessons 10.3 - 10.5, 10.7) | 5.3.2 | Write simple algebraic expressions in one or two variables and evaluate them by substitution. | ISTEP+ T7 #1-4 |
| 4.3.1 | Use letters, boxes, or other symbols to represent any number in simple expressions, equations, or inequalities. | ISTEP+ Gr 4 T3 #6 | ||||
| 10 | c | D | Represent rate problems as formulas, graphs, and tables (Lessons 10.4 - 10.7) | 5.3.5 | Find ordered pairs (positive numbers only) that fit a linear equation, graph the ordered pairs, and draw the line they determine. | ISTEP+ T7 #7 |
| 4.3.4 | Understand that an equation such as y = 3x + 5 is a rule for finding a second number when a first number is given. (L 10.4) | ISTEP+ Gr 4 T 8 #8-10 | ||||
| 10 | d | D | Use formulas to find circumference and area of a circle (Lessons 10.8, 10.9) | |||
| 10 | e | D | Distinguish between circumference and area of circle problems (Lessons 10.9) | |||
| 10 | f | DS | Solve one-step pan-balance problems (Lesson 10.9) | |||
| 10 | g | DS | Interpret mystery line plots and graphs (Lesson 10.7) | 5.3.7 | Use information taken from a graph or equation to answer questions about a problem situation. | ISTEP+ T7 #6, 8 |
Unit 11 Volume [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 11 | a | B | Understand the relationship between the volume of pyramids and prisms, and the volume of cones and cylinders (Lesson 11.4) | |||
| 11 | b | B | Find the surface area of prisms (Lesson 11.7) | |||
| 11 | c | B | Understand how to find the surface area of cylinders (Lesson 11.7) | 5.3.6 | Understand that the length of a horizontal line segment on a coordinate plane equals the difference between the x-coordinates and that the length of a vertical line segment on a coordinate plane equals the difference between the y-coordinates. | ISTEP+ T8 #1 |
| 5.5.4 | Find the surface area and volume of rectangular solids using appropriate units. | ISTEP+ T8 #2 | ||||
| 11 | d | B | Understand the concept of capacity and how to calculate it (Lessons 11.6) | |||
| 11 | e | DS | Use formulas to find the volume of prisms and cylinders (Lessons 11.3) | 5.5.4 | Find the surface area and volume of rectangular solids using appropriate units. | ISTEP+ T8 #2 |
| 11 | f | S | Use formulas to find the area of polygons and circles (Lessons 11.1, 11.4) | 5.5.1 | Understand and apply the formulas for the area of a triangle, parallelogram, and trapezoid. | ISTEP+ T6 #5-6 |
| 5.5.2 | Solve problems involving perimeters and areas of rectangles, triangles, parallelograms, and trapezoids, using appropriate units. | ISTEP+ T6 #7-8 | ||||
| 11 | g | S | Know the properties of geometric solids (Lesson 11.1, 11.2) | 5.4.8 | Construct prisms and pyramids using appropriate materials. | |
Unit 12 Probability, Ratios, and Rates [Back to TOP]
| Everyday Mathematics Learning Goals | Indiana Academic Math Standard | ISTEP+ Questions | ||||
| 12 | a | B | Use tree diagrams to find all possible ways a sequence of choices can be made (Lesson 12.2) | |||
| 12 | b | B | Compute the probability of outcomes when choices are equally likely (Lesson 12.2) | 5.2.7 | Use mental arithmetic to add or subtract simple decimals. | |
| 12 | c | BD | Use the Multiplication Counting Principle to find the total number of possible outcomes of a sequence of choices (Lesson 12.2) | |||
| 12 | d | D | Find the greatest common factor of two numbers (Lesson 12.1) | |||
| 12 | e | D | Find the least common multiple of two numbers.(Lesson 12.1) | |||
| 12 | f | DS | Solve ratio and rate number stories (Lesson 12.1, 12.3-12.8) | |||
| 12 | g | S | Find the factors of numbers. (Lessons 12.1) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| 12 | h | S | Find the prime factorizations of numbers (Lesson 12.1) | 5.1.6 | Describe and identify prime and composite numbers. | ISTEP+ T1 Pt 1 #11-14 |
| Lesson 12.7 No learning goal mapped to this lesson. | 5.6.1 | Explain which types of displays are appropriate for various sets of data. | ISTEP+ T5 #1 | |||
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