4.1(A)

Apply mathematics to problems arising in everyday life, society, and the workplace.

2

4.1(B)

Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

3

4.1(C)

Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

4

4.1(D)

Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.

5

4.1(E)

Create and use representations to organize, record, and communicate mathematical ideas.

6

4.1(F)

Analyze mathematical relationships to connect and communicate mathematical ideas.

7

4.1(G)

Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.

8

4.2(A)

Interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left.

9

4.2(B)

1 Lesson

Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals.

Aligned Lessons

Naming Numbers Game

10

4.2(C)

Compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =.

11

4.2(D)

3 Lessons

Round whole numbers to a given place value through the hundred thousands place.

Aligned Lessons

micro:bit® Rounding to the Nearest Ten

micro:bit® Rounding to the Nearest Hundred

micro:bit® Rounding with Decimals

12

4.2(E)

Represent decimals, including tenths and hundredths, using concrete and visual models and money.

13

4.2(F)

Compare and order decimals using concrete and visual models to the hundredths.

14

4.2(G)

Relate decimals to fractions that name tenths and hundredths.

15

4.2(H)

Determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.

16

4.3(A)

2 Lessons

Represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b.

Aligned Lessons

Fractions and Variables

Multiplying and Dividing Fractions

17

4.3(B)

2 Lessons

Decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations.

Aligned Lessons

Fractions and Variables

Multiplying and Dividing Fractions

18

4.3(C)

1 Lesson

Determine if two given fractions are equivalent using a variety of methods.

Aligned Lessons

Multiplying and Dividing Fractions

19

4.3(D)

Compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <.

20

4.3(E)

1 Lesson

Represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations.

Aligned Lessons

Add and Subtract Fractions

21

4.3(F)

2 Lessons

Evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole.

Aligned Lessons

Animating Unit Fractions

Add and Subtract Fractions

22

4.3(G)

2 Lessons

Represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.

Aligned Lessons

Fractions and Variables

Animating Unit Fractions

23

4.4(A)

1 Lesson

Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm.

Aligned Lessons

Adding with Loops

24

4.4(B)

1 Lesson

Determine products of a number and 10 or 100 using properties of operations and place value understandings.

Aligned Lessons

Animating Sprites with Multiplication

25

4.4(C)

Represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15.

26

4.4(D)

5 Lessons

Use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties.

Aligned Lessons

Decimal Multiplication and Conditionals

Multiplication and Conditionals

Multi-digit Multiplication and Conditionals

Multiplication Quiz Game

Animating Sprites with Factors

27

4.4(E)

1 Lesson

Represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations.

Aligned Lessons

Animating Sprites with Division

28

4.4(F)

Use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor.

29

4.4(G)

1 Lesson

Round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers.

Aligned Lessons

micro:bit® Rounding to the Nearest Hundred

30

4.4(H)

6 Lessons

Solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.

Aligned Lessons

Decimal Multiplication and Conditionals

Multiplication and Conditionals

Multiplication Quiz Game

Evaluate Algebraic Equations

Animating Sprites with Factors

Animating Sprites with Division

31

4.5(A)

1 Lesson

Represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity.

Aligned Lessons

Evaluate Algebraic Equations

32

4.5(B)

1 Lesson

Represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence.

Aligned Lessons

Safety Solutions micro:bit® Design Project

33

4.5(C)

3 Lessons

Use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l × w).

Aligned Lessons

Area of a Rectangle with Tiles

House Design with Area and Perimeter

Modeling Perimeter with Finch Robot®

34

4.5(D)

3 Lessons

Solve problems related to perimeter and area of rectangles where dimensions are whole numbers.

Aligned Lessons

Area of a Rectangle with Tiles

House Design with Area and Perimeter

Modeling Perimeter with Finch Robot®

35

4.6(A)

Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.

36

4.6(B)

Identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure.

37

4.6(C)

Apply knowledge of right angles to identify acute, right, and obtuse triangles.

38

4.6(D)

4 Lessons

Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.

Aligned Lessons

Classifying Shapes by Category

Classifying Shapes Using Lines and Angles

Classifying Quadrilaterals in a Hierarchy

VEX GO®: Lines and Angles

39

4.7(A)

Illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is "cut out" by the rays of the angle.

40

4.7(B)

Illustrate degrees as the units used to measure an angle and determine approximate measures using a protractor.

41

4.7(C)

Determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.

42

4.8(A)

Identify relative sizes of measurement units within the customary and metric systems.

43

4.8(B)

1 Lesson

Convert measurements within the same measurement system.

Aligned Lessons

VEX GO®: Measurement

44

4.8(C)

1 Lesson

Solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division.

Aligned Lessons

Measuring Lengths

45

4.9(A)

Represent data on a frequency table, dot plot, or stem-and-leaf plot.

46

4.9(B)

Solve one- and two-step problems using data in whole number, decimal, and fraction form.

47

4.10(A)

Distinguish between fixed and variable expenses.

48

4.10(B)

Calculate profit in a given situation.

49

4.10(C)

Compare the advantages and disadvantages of various savings options.

50

4.10(D)

Describe how to allocate a weekly allowance among spending, saving, and sharing.

51

4.10(E)

Describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.

Texas 4 Math TEKS

4.1(A)

4.1(B)

4.1(C)

4.1(D)

4.1(E)

4.1(F)

4.1(G)

4.2(A)

4.2(B)

Aligned Lessons

4.2(C)

4.2(D)

Aligned Lessons

4.2(E)

4.2(F)

4.2(G)

4.2(H)

4.3(A)

Aligned Lessons

4.3(B)

Aligned Lessons

4.3(C)

Aligned Lessons

4.3(D)

4.3(E)

Aligned Lessons

4.3(F)

Aligned Lessons

4.3(G)

Aligned Lessons

4.4(A)

Aligned Lessons

4.4(B)

Aligned Lessons

4.4(C)

4.4(D)

Aligned Lessons

4.4(E)

Aligned Lessons

4.4(F)

4.4(G)

Aligned Lessons

4.4(H)

Aligned Lessons

4.5(A)

Aligned Lessons

4.5(B)

Aligned Lessons

4.5(C)

Aligned Lessons

4.5(D)

Aligned Lessons

4.6(A)

4.6(B)

4.6(C)

4.6(D)

Aligned Lessons

4.7(A)

4.7(B)

4.7(C)

4.8(A)

4.8(B)

Aligned Lessons

4.8(C)

Aligned Lessons

4.9(A)

4.9(B)

4.10(A)

4.10(B)

4.10(C)

4.10(D)

4.10(E)

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