Represent decimals, including tenths and hundredths, using hands on /visual models and money Topic 1: Place Value

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1 Volume 1 A TEKS The student will be able to 4.2A(S) Interpret the value of a digit through a deeper understanding of the patterns and relationships of multiplication and division by 10 and how that relates to place value. 4.2B(R) Represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation (Example: 423 is ) and numerals 4.2C(S) Compare and order whole numbers to the one billion and represent comparisons using the symbols < (less than), > (greater than), = (equal to) Example 23 < 42, 42>23, 23=23 4.2D(S) Round whole numbers to a given place value through the hundred thousands place (Example: 42~ 40) 4.2E(S) Represent decimals, including tenths and hundredths, using hands on /visual models and money Topic 1: Place Value Compare and order decimals using hands-on/ visual models to the hundredths Example: 4.2F(S) 4.2G(R) 0.3<0.5 Relate decimals to fractions that name tenths and hundredths Example:

2 4.2H(S) Determine the corresponding decimal to the tenths or hundredths place of a specific point on a number line Example: Topic 2: Adding and Subtracting Whole Nos. & Decimal Nos. Topic 3: Number Sense- Mult. by 1 Digit Nos. Topic 4: Pro: Mult. 1 Digit Nos. 4.4A(R) 4.4G(S) 4.4B(S) 4.4D(S) 4.4G(S) 4.4D(S) Add and subtract whole numbers and decimals to the hundredths place Round to the nearest 10, 100, or 1,000 or use compatible (friendly) numbers to estimate solutions involving whole numbers Determine products (answer to a multiplication problem) of a number and 10 or a 100 using properties of operations and place value understandings Use Strategies to multiply a 4-digit number by a 1-digit number (4,327 X 3) and to multiply a 2-digit number by a 2-digit number (25 X 25). Strategies may include mental math, partial products, and mathematical properties (commutative, associative, and distributive). Round to the nearest 10 or 100 or 1,000 or use compatible (friendly) numbers to estimate solutions (answers) involving whole numbers Use Strategies to multiply a 4-digit number by a 1-digit number (4,327 X 3) and to multiply a 2-digit number by a 2-digit number (25 X 25). Strategies may include mental math, partial products, and mathematical properties (commutative, associative, and distributive).

3 Volume 1 B TEKS The student will be able to 4.4C(S) Represent the product (answer to a multiplication problem) of two-digit numbers using arrays, area models, or equations through 15 by 15. Topic 5: Number Sense-Mult. 2 Digit Nos. 4.4D(S) 4.4G(S) Use Strategies to multiply a 4-digit number by a 1-digit number (4,327 X 3) and to multiply a 2-digit number by a 2-digit number (25 X 25). Strategies may include mental math, partial products, and mathematical properties (commutative, associative, and distributive). Round to the nearest 10, 100, or 1,000 or use compatible (friendly) numbers to estimate solutions involving whole numbers

4 4.5A(R) Represent multi-step problems involving addition, subtraction, multiplication, and division with whole numbers. Use diagrams (strip, tape, and bar) and equations with a letter standing for the unknown quantity (i.e. Y+5=10) Topic 6: Dev. Pro. Mult. 2 Digit by 2 Digit Represent the product (answer to a multiplication problem) of two-digit numbers using arrays, area models, or equations through 15 by C(S) 4.4D(S) Use Strategies to multiply a 4-digit number by a 1-digit number (4,327 X 3) and to multiply a 2-digit number by a 2-digit number (25 X 25). Strategies may include mental math, partial products, and mathematical properties (commutative, associative, and distributive).

5 4.5A(R) Represent multi-step problems involving addition, subtraction, multiplication, and division with whole numbers. Use diagrams (strip, tape, and bar) and equations with a letter standing for the unknown quantity (i.e. Y+5=10) Topic 7: Number Sense- Div. by 1 Digit Divisors Topic 8: Dev. Pro. Dividing by 1 Digit Divisors 4.4E(S) 4.4F(S) 4.4G(S) 4.4H(R) 4.4E(S) 4.4F(S) Volume 2 A TEKS The student will be able to Topic 9: Patterns and Equations 4.5B (R) Represent the quotient (answer to a division problem) of up to a 4 digit whole number divided by a 1 digit whole number (i.e. 4,326 3) using arrays, area models, or equations. Use strategies to divide up to 4 digit dividend and a 1 digit divisor (i.e. 4,326 3) Round to the nearest 10, 100, or 1,000 or use compatible (friendly) numbers to estimate solutions involving whole numbers Solve 1 and 2 step problems involving multiplication and division including remainders. Represent the quotient (answer to a division problem) of up to a 4 digit whole number divided by a 1 digit whole number (i.e. 4,326 3) using arrays, area models, or equations. Use strategies to divide up to 4 digit dividend and a 1 digit divisor (i.e. 4,326 3) Represent problems using an input-output table in numerical expressions to generate a number pattern that follows a given rule to generate a table to represent the relationship of the values in the sequence in their position in the sequence

6 Topic 10: Fraction Meanings and Equivalence 4.3A(S) 4.3C(S) 4.3D(R) 4.3G(S) Add fractions with like denominators Determine if two given fractions are equal using more than one method Compare two fractions with different numerators (top number) and different denominators (bottom number) using < (less than), >(greater than), = (equal to) (i.e ½ > ¼ ) Represent fractions and decimals to the tenths and hundredths on a number line. Topic 11: Adding and Subtracting Fractions with Unlike Denominators Topic 12: Measurement Units and Conversions 4.3B(S) 4.3E(R) 4.3F(S) 4.8A(S) 4.8B(S) 4.8C(R) 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. Represent and solve addition and subtraction of fractions with equal denominators (bottom number) using objects and pictures that build to the number line Evaluate the reasonableness of sums and differences of fractions using benchmark (common) fractions 0, ¼, ½, ¾, and 1 referring to the same whole Identify common sizes of units within the customary and metric systems (i.e. A cantaloupe has a mass of about 1 kilogram.) Convert measurements within the same measurement system, customary or metric use addition, subtraction, multiplication or division as appropriate to solve word problems involving distance, volume,

7 mass and money Volume 2 B TEKS The student will be able to. Solve problems related to perimeter and area of rectangles Topic 13: 4.5D(R) where length and width are whole numbers. Solving Use addition, subtraction, multiplication or division as Measurement 4.8C(R) appropriate to solve word problems involving distance, volume, Problems mass and money 4.6A(S) Identify points, lines, line segments, rays, angles, and perpendicular and parallel lines 4.6B(S) Identify and draw one or more lines of symmetry, if they exist, for a 2 dimensional figure 4.6C(S) Apply knowledge of right angles to identify acute, right and obtuse triangles Topic 14: Lines, Angles, and Shapes 4.6D(R) 4.7C(R) 4.7D(S) Classify 2 dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of specified sides Determine the approximate measures of angles in degrees to the nearest whole number using a protractor. Draw an angle with a given measure 4.7E(S) Determine the measure of an unknown angle formed by two non-overlapping adjacent angles (share a common ray) given one or both angle measures.

8 Represent data on different types of graphs (dot plot, frequency table or stem and leaf plot) marked with whole numbers and fractions. Topic 15: Data Analysis 4.9A(R) 4.9B(S) Solve one and two step problems analyzing data(whole number, decimal, and fraction) from a frequency table, dot plot, stem & leaf plot

9 Topic 16: Personal Financial Literacy Review Unit to Prepare for 5 th Grade Distinguish between fixed(i.e. rent, insurance, salary)and 4.10A(S) variable(i.e hourly wages, utilities, office supplies) expenses or costs 4.10B(S) Calculate profit in a given situation Money Made Money Spent=Profit 4.10E(S) Describe the basic purpose of financial institutions. Including keeping money safe, borrowing money, and lending 5.3A(S) 5.3H(S) 5.3I(S) 5.3J(S) 5.4H(R) 5.6A(S) 5. 6B(S)