# Primary 3A

This is the first semester of the third grade curriculum. This course contains 18 lessons and meets for 2 hours per week. Tuition cost: \$50.00 USD per student-class-week.

Concepts taught are:

• Numbers to 10,000 – Relate 4-digit numbers to thousands, hundreds, tens and ones. Read and write 4-digit numbers and corresponding number words. Relate each digit in a 4-digit number to its place value. Compare and order 4-digit numbers. Count on or back by 1, 10, 100 or 1,000. Recognize number patterns involving counting on or back by ones, tens, hundreds and/or thousands.

• Sum and Difference – Understand the terms sum and difference. Draw comparison models to represent mathematical statements. Draw part-whole models to represent mathematical statements. Review addition and subtraction of 3-digit numbers. Solve 1-step and 2-step word problems.

• Adding Ones, Tens, Hundreds and Thousands – Add ones, tens or hundreds to a 4-digit number. Add a number within 10,000 to a 4-digit number with renaming once, twice or three times.

• Subtracting Ones, Tens, Hundreds and Thousands - Subtract ones, tens or hundreds from a 4-digit number. Subtract a number within 10,000 from a 4-digit number with regrouping once, twice or three times. Subtract a number within 10,000 from a 4-digit number where regrouping occurs over several place values for one step.

• Word Problems within 10,000 – Solve one- and two-step word problems involving addition and/or subtraction using models and/or algebraic symbols.

• Multiplication and Division: Review of Concepts – Review multiplication concepts. Review multiplication facts for 2, 3, 4, 5 and 10. Review division concepts. Review division facts for 2, 3, 4, 5, and 10. Multiply a number by 0. Divide 0 by a number. Solve simple word problems involving multiplication and division.

• Multiplication and Division: Modeling Word Problems – Represent word problems involving division or multiplication with a part-whole model. Understand and use the concept of a “unit”. Review multiplication and division by 2, 3, 4, 5, and 10. In word problems, associate multiplication with “how many times as much” or “how many times more”. Represent word problems involving multiplication or division with a comparison model. Solve 2-step word problems using all four operations.

• Multiplying Ones, Tens and Hundreds – Multiply tens or hundreds by a 1-digit number. Write multiplication problems vertically. Relate the term product to multiplication. Multiply a 2-digit number by 2, 3, 4, or 5.Multiply a 2-digit number by 2, 3, 4 or 5 with renaming in the tens. Multiply a 3-digit number by 2, 3, 4 or 5.

• Quotients and Remainders – Understand the concept of a remainder in division. Relate the terms quotient and remainder to division. Understand the vertical representation for division. Divide a 2-digit number by 2. Identify odd and even numbers.

• Dividing Hundreds, Tens, and Ones – Divide a 3-digit number by 2. Divide a 2-digit number by 2, 3, 4, or 5. Divide a 3-digit number by 2, 3, 4, or 5.

• Multiplying and Dividing by 6 – Review facts for multiplication and division by 2, 3, 4, 5, and 10. Double numbers within 100 mentally. Determine new facts for multiplication by 6 from known facts. Learn facts for multiplication by 6 (four new facts). Multiply numbers within 1,000 by 6. Divide numbers within 1,000 by 6.

• Multiplying and Dividing by 7 – Determine new facts for multiplication by 7 from known facts. Learn facts for multiplication by 7 (three new facts). Multiply numbers within 1,000 by 7. Divide numbers within 1,000 by 7.

• Multiplying and Dividing by 8 – Determine new facts for multiplication by 8 from known facts. Learn facts for multiplication by 8 (two new facts). Multiply numbers within 1,000 by 8. Divide numbers within 1,000 by 8.

• Multiplying and Dividing by 9 – Determine new facts for multiplication by 9 from known facts. Learn facts for multiplication by 9 (one new fact). Multiply numbers within 1,000 by 9. Divide numbers within 1,000 by 9.

• Multiplication and Division Word Problems – Solve word problems involving multiplication and division by 2, 3, 4, 5, 6, 7, 8, 9 and 10.

• Money: Dollars and Cents – Recognize, read and write the decimal notation for money. Count money in a set of bills and coins. Convert dollars and cents to cents and cents to dollars and cents. Write amount of money in words and figures. Make change for \$1, \$10, \$20, \$50 or \$100.

• Money: Addition and Subtraction – Add cents to dollars and cents. Add money by first making a whole number of dollars. Add money within \$100 by first adding dollars, then cents. Add money within \$100 using the formal algorithm of addition. Subtract cents from dollars and cents. Subtract cents from a whole number of dollars. Subtract cents by subtracting from \$1. Subtract money within \$100 by first subtracting dollars, then cents. Subtract money within \$10 using the formal algorithm of subtraction. Subtract money from a multiple of \$10 by mentally subtracting from 1000.

• Money: Word Problems – Solve word problems involving money.

• Order of Operations – Do mixed operations involving addition and subtraction without parentheses. Do mixed operations involving multiplication and division without parentheses. Do mixed operations involving all four operations without parentheses. Do mixed operations involving all four operations with parentheses.

• End-of-Semester Review – Cumulative review of topics covered in 3A.