Table of Contents
Introduction ................................................................................................... i–iv
What is Engaging Mathematics, Volume I: Grade 4? ............................................ iii
What is found in an Engaging Mathematics TEKS-based activity? .......................... iv
Number and operations .............................................................................. 2–117
Representing the Value of Digits, Activity 1 4(2)(B) ........................................... 2
Representing the Value of Digits, Activity 2 4(2)(B) ........................................... 4
Comparing and Ordering Whole Numbers 4(2)(C) .............................................. 8
Rounding Whole Numbers 4(2)(D) .................................................................. 10
Representing Decimals 4(2)(E) ...................................................................... 14
Comparing and Ordering Decimals, Activity 1 4(2)(F) ........................................ 18
Comparing and Ordering Decimals, Activity 2 4(2)(F) ........................................ 24
Relating Decimals to Fractions, Activity 1 4(2)(G) ............................................. 28
Relating Decimals to Fractions, Activity 2 4(2)(G) ............................................. 32
Relating Decimals to Fractions, Activity 3 4(2)(G) ............................................. 34
Relating Decimals to Fractions, Activity 4 4(2)(G) ............................................. 36
Identifying Decimals on a Number Line 4(2)(H) ................................................ 40
Representing Fractions 4(3)(A) ...................................................................... 42
Determining Equivalent Fractions, Activity 1 4(3)(C) ......................................... 44
Determining Equivalent Fractions, Activity 2 4(3)(C) ......................................... 46
Determining Equivalent Fractions, Activity 3 4(3)(C) ......................................... 50
Determining Equivalent Fractions, Activity 4 4(3)(C) ......................................... 52
Comparing Fractions, Activity 1 4(3)(D) .......................................................... 54
Comparing Fractions, Activity 2 4(3)(D) .......................................................... 56
Comparing Fractions, Activity 3 4(3)(D) .......................................................... 60
Adding and Subtracting Fractions, Activity 1 4(3)(E) ......................................... 64
Adding and Subtracting Fractions, Activity 2 4(3)(E) ......................................... 66
Representing Fractions and Decimals on a Number Line,
Activity 1 4(3)(G), 4(3)(C) ....................................................................... 68
Representing Fractions and Decimals on a Number Line,
Activity 2 4(3)(G), 4(3)(C) ....................................................................... 72
Representing Fractions and Decimals on a Number Line,
Activity 3 4(3)(G), 4(3)(C) ....................................................................... 76
Adding and Subtracting Whole Numbers and Decimals, Activity 1 4(4)(A) ............ 78
Adding and Subtracting Whole Numbers and Decimals, Activity 2 4(4)(A) ............ 80
Adding and Subtracting Whole Numbers and Decimals, Activity 3 4(4)(A) ............ 82
Adding and Subtracting Whole Numbers and Decimals, Activity 4 4(4)(A) ............ 84
Representing Products, Activity 1 4(4)(C) ........................................................ 86
Representing Products, Activity 2 4(4)(C) ........................................................ 88
Representing Products, Activity 3 4(4)(C) ........................................................ 90
Multiplying Whole Numbers 4(4)(D) ................................................................ 92
Representing Quotients, Activity 1 4(4)(E) ....................................................... 96
Representing Quotients, Activity 2 4(4)(E) ....................................................... 98
Dividing Whole Numbers, Activity 1 4(4)(F) ................................................... 100
Dividing Whole Numbers, Activity 2 4(4)(F) ................................................... 102
Estimating with Whole Numbers, Activity 1 4(4)(G) ......................................... 104
Estimating with Whole Numbers, Activity 2 4(4)(G) ......................................... 106
Estimating with Whole Numbers, Activity 3 4(4)(G) ......................................... 110
Multiplying and Dividing, Activity 1 4(4)(H) .................................................... 112
Multiplying and Dividing, Activity 2 4(4)(H) .................................................... 114
Multiplying and Dividing, Activity 3 4(4)(H) .................................................... 116
Introduction ................................................................................................... i–iv
What is Engaging Mathematics, Volume I: Grade 4? ............................................ iii
What is found in an Engaging Mathematics TEKS-based activity? .......................... iv
Number and operations .............................................................................. 2–117
Representing the Value of Digits, Activity 1 4(2)(B) ........................................... 2
Representing the Value of Digits, Activity 2 4(2)(B) ........................................... 4
Comparing and Ordering Whole Numbers 4(2)(C) .............................................. 8
Rounding Whole Numbers 4(2)(D) .................................................................. 10
Representing Decimals 4(2)(E) ...................................................................... 14
Comparing and Ordering Decimals, Activity 1 4(2)(F) ........................................ 18
Comparing and Ordering Decimals, Activity 2 4(2)(F) ........................................ 24
Relating Decimals to Fractions, Activity 1 4(2)(G) ............................................. 28
Relating Decimals to Fractions, Activity 2 4(2)(G) ............................................. 32
Relating Decimals to Fractions, Activity 3 4(2)(G) ............................................. 34
Relating Decimals to Fractions, Activity 4 4(2)(G) ............................................. 36
Identifying Decimals on a Number Line 4(2)(H) ................................................ 40
Representing Fractions 4(3)(A) ...................................................................... 42
Determining Equivalent Fractions, Activity 1 4(3)(C) ......................................... 44
Determining Equivalent Fractions, Activity 2 4(3)(C) ......................................... 46
Determining Equivalent Fractions, Activity 3 4(3)(C) ......................................... 50
Determining Equivalent Fractions, Activity 4 4(3)(C) ......................................... 52
Comparing Fractions, Activity 1 4(3)(D) .......................................................... 54
Comparing Fractions, Activity 2 4(3)(D) .......................................................... 56
Comparing Fractions, Activity 3 4(3)(D) .......................................................... 60
Adding and Subtracting Fractions, Activity 1 4(3)(E) ......................................... 64
Adding and Subtracting Fractions, Activity 2 4(3)(E) ......................................... 66
Representing Fractions and Decimals on a Number Line,
Activity 1 4(3)(G), 4(3)(C) ....................................................................... 68
Representing Fractions and Decimals on a Number Line,
Activity 2 4(3)(G), 4(3)(C) ....................................................................... 72
Representing Fractions and Decimals on a Number Line,
Activity 3 4(3)(G), 4(3)(C) ....................................................................... 76
Adding and Subtracting Whole Numbers and Decimals, Activity 1 4(4)(A) ............ 78
Adding and Subtracting Whole Numbers and Decimals, Activity 2 4(4)(A) ............ 80
Adding and Subtracting Whole Numbers and Decimals, Activity 3 4(4)(A) ............ 82
Adding and Subtracting Whole Numbers and Decimals, Activity 4 4(4)(A) ............ 84
Representing Products, Activity 1 4(4)(C) ........................................................ 86
Representing Products, Activity 2 4(4)(C) ........................................................ 88
Representing Products, Activity 3 4(4)(C) ........................................................ 90
Multiplying Whole Numbers 4(4)(D) ................................................................ 92
Representing Quotients, Activity 1 4(4)(E) ....................................................... 96
Representing Quotients, Activity 2 4(4)(E) ....................................................... 98
Dividing Whole Numbers, Activity 1 4(4)(F) ................................................... 100
Dividing Whole Numbers, Activity 2 4(4)(F) ................................................... 102
Estimating with Whole Numbers, Activity 1 4(4)(G) ......................................... 104
Estimating with Whole Numbers, Activity 2 4(4)(G) ......................................... 106
Estimating with Whole Numbers, Activity 3 4(4)(G) ......................................... 110
Multiplying and Dividing, Activity 1 4(4)(H) .................................................... 112
Multiplying and Dividing, Activity 2 4(4)(H) .................................................... 114
Multiplying and Dividing, Activity 3 4(4)(H) .................................................... 116