AR Remediation Plan – Equality/Solving Equations Solving Practical Problems Using One-Step Equations STRAND: Patterns, Functions and Algebra STRAND CONCEPT: Equality/Solving Equations SOL: 6.13 Remediation Plan Summary Students solve one-step linear equations in one variable involving practical problems. Common Errors and Misconceptions Students may confuse the operations when translating the equations. Materials “Warm-up” handout handout “Algebra Practice” Introductory Activity Distribute the handout and have students work in teams of two to solve and “Warm-up” translate the equations. Engage students in a whole class discussion to review the answers Plan for Instruction Ask a student to read the following problem aloud to the group: The Yankees and the Red Sox played a baseball game. The Yankees scored 5 runs. The sum of the two scores was 12. What was the Red Explain that the first step Sox’ score? in solving the problem is choosing a variable to represent the unknown, e.g., the Red = the Red the board for reference. Then, write an Sox’ score. Write “r Sox’ score” on algebraic equation for the problem: 5 + r = of 5 12, which means “the Yankees’ score runs plus the Red score, r, is equation on the board with student Sox’ 12.” Solve this input. State clearly in writing at the end that the Red Sox scored 7 points. Ask a student to read the following problem aloud to the group: John has 10 pairs of socks in his drawer. Some are dress socks and some are athletic socks. He has 3 pairs of dress socks. How many pairs of athletic socks are in his drawer? Demonstrate that the first step in solving the problem is choosing a variable to represent the unknown, e.g., the number of pairs of athletic socks in the drawer. Write = the number of pairs of athletic socks in the on the board for “w drawer” reference. Then, write an algebraic equation for the problem: w + 3 = 10. Solve the equation with input from the students. State clearly in writing at the end that there are 7 pairs of athletic socks in the drawer. Ask a student to read the following problem aloud: Maggie picked up 4 times as many golf balls on the golf course as Ron. The total number of golf balls in is 36. How many golf balls did Ron find? Let r represent the Maggie’s bucket number of golf balls Ron found. Write = the number of golf balls Ron on the “r found”
AR Remediation Plan – Equality/Solving Equations Solving Practical Problems Using One-Step Equations STRAND: Patterns, Functions and Algebra STRAND CONCEPT: Equality/Solving Equations SOL: 6.13 Remediation Plan Summary Students solve one-step linear equations in one variable involving practical problems. Common Errors and Misconceptions Students may confuse the operations when translating the equations. Materials “Warm-up” handout “Algebra Practice” handout Introductory Activity Distribute the “Warm-up” handout and have students work in teams of two to solve and translate the equations. Engage students in a whole class discussion to review the answers Plan for Instruction Ask a student to read the following problem aloud to the group: The Yankees and the Red Sox played a baseball game. The Yankees scored 5 runs. The sum of the two scores was 12. What was the Red Sox’ score? Explain that the first step in solving the problem is choosing a variable to represent the unknown, e.g., the Red Sox’ score. Write “r = the Red Sox’ score” on the board for reference. Then, write an algebraic equation for the problem: 5 + r = 12, which means “the Yankees’ score of 5 runs plus the Red Sox’ score, r, is 12.” Solve this equation on the board with student input. State clearly in writing at the end that the Red Sox scored 7 points. Ask a student to read the following problem aloud to the group: John has 10 pairs of socks in his drawer. Some are dress socks and some are athletic socks. He has 3 pairs of dress socks. How many pairs of athletic socks are in his drawer? Demonstrate that the first step in solving the problem is choosing a variable to represent the unknown, e.g., the number of pairs of athletic socks in the drawer. Write “w = the number of pairs of athletic socks in the drawer” on the board for reference. Then, write an algebraic equation for the problem: w + 3 = 10. Solve the equation with input from the students. State clearly in writing at the end that there are 7 pairs of athletic socks in the drawer. Ask a student to read the following problem aloud: Maggie picked up 4 times as many golf balls on the golf course as Ron. The total number of golf balls in Maggie’s bucket is 36. How many golf balls did Ron find? Let r represent the number of golf balls Ron found. Write “r = the number of golf balls Ron found” on the
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