The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

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Resource Overview Quantile Measure: Skill or Concept: 150Q Find the value of an unknown in a number sentence.

org Math Learning Center This resource may be available in other Quantile utilities. For full access to these free utilities, visit www.

The Quantile Framework for Mathematics, developed by educational measurement and research organization MetaMetrics, comprises more than 500

The Quantile Framework depicts the developmental nature of mathematics and the connections between mathematics content across the strands.

ready to learn that skill, needs to learn supporting concepts first, or has already learned it.

1 Resource Overview Quantile Measure: Skill or Concept: 150Q Find the value of an unknown in a number sentence. (QT A 549) Excerpted from: The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center This resource may be available in other Quantile utilities. For full access to these free utilities, visit The Quantile Framework for Mathematics, developed by educational measurement and research organization MetaMetrics, comprises more than 500 skills and concepts (called QTaxons) taught from kindergarten through high school. The Quantile Framework depicts the developmental nature of mathematics and the connections between mathematics content across the strands. By matching a student s Quantile measure with the Quantile measure of a mathematical skill or concept, you can determine if the student is ready to learn that skill, needs to learn supporting concepts first, or has already learned it. For more information and to use free Quantile utilities, visit Park Forty Plaza Drive, Suite 120, Durham, North Carolina METAMETRICS, the METAMETRICS logo and tagline, QUANTILE, QUANTILE FRAMEWORK and the QUANTILE logo are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad. The names of other companies and products mentioned herein may be the trademarks of their respective owners.

2 Set A2 Number & Operations: Solving Equations Set A2 H Activity 2 Activity The Blue Square Game, Part 2 Overview The teacher plays another round of the Blue Square Game with the class, and has students solve a few equations at the board together. Then students solve some equations independently. Skills & Concepts H generate addition and subtraction strategies to find missing addends and subtrahends in number combinations through 20 H solve equations in which the unknown number appears in a variety of positions You ll need H Solving Equations pages 1 and 2 (pages A2.12 and A2.13, class set of each) H Blue Square game materials from Set A2, Activity 1 (see Advance Preparation) H pocket chart Advance Preparation Use your Numeral & Symbol cards and any strips and expression cards left over from the previous activity to build equations in the pocket chart before you conduct this activity. Cover one number in each equation with a blue square. Instructions for The Black Square Game, Part 2 1. Gather students to your discussion area. Give them a minute to examine the equations in the pocket chart and pair-share ideas about the numbers that are hidden. Then turn the unifix strips over so only the equations are showing. Point to the first blue square and ask students to indicate what number they think is hidden by holding up that number of fingers. Then ask several volunteers to explain their reasoning = Students is 10. Then you have to think how to get the other side to be 10 because I m pretty sure both of those strips have 10 on them. I counted 8, 9, 10. I think it s 3. I know is 10. Then I know is 10, so it has to be 3. 7 is just 1 away from 8, so I moved 1 over from the 2 and made it 3 on that side. 2. Reveal the hidden number. Continue in this fashion until students have solved all of the equations. 3. Now explain that you are going to write some equations on the board for students to solve. Record the following equation. Ask students to pair-share what they think belongs in the box. Give them a few moments to talk and then ask them to indicate the answer by holding up that number of fingers. Ask a couple of volunteers to explain their reasoning. 8 = 4 Bridges in Mathematics Grade 2 Supplement A2.9

3 Set A2 Number & Operations: Solving Equations Activity 2 The Blue Square Game, Part 2 (cont.) Students It s 4 because I know 8 minus 4 is is 8, so the missing number must be Repeat step 3 with the equations shown below = 6 + = = 2 + = = Give students each a copy of Solving Equations page 1. Read over the sheet with them and clarify as needed. Then give them the rest of the math period to work on the sheet. Consider assigning page 2 as extra work for early finishers, homework, or seatwork the following day. Set A2 Number & Operations: Solving Equations Blackline Run a class set. Set A2 Number & Operations: Solving Equations Blackline Run a class set. NAME DATE NAME DATE Solving Equations page 1 of 2 Solving Equations page 2 of 2 1 Fill in the missing numbers. 2 Addition. Fill in the missing numbers. a b a 9 = 7 + b = c 18 = 9 + c = d 9 = d = 7 + e 4 + = f 6 + = g = h = 16 i = 16 e 13 = + 6 f 6 + = 11 j = k = l = Subtraction. Fill in the missing numbers. g 10 = 6 14 = 7 a 11 5 = b 14 7 = c 18 = 10 d 12 6 = 3 + e 15 5 = 6 + f 13 4 = + 6 h = + 8 i g 15 = 8 h 16 = 8 i 18 9 = j 10 5 = = = 4 + Extensions Make the Numerals & Symbols cards and blue squares, along with students strips and expression cards available during Work Places. Encourage students to set up equations in the pocket chart for their classmates to solve. A2.10 Bridges in Mathematics Grade 2 Supplement

4 Set A2 Number & Operations: Solving Equations Activity 2 The Blue Square Game, Part 2 (cont.) Every week or so through the rest of the school year, post a few equations on the board for students to solve. Depending on the needs and strengths of your students, you can increase the challenge level by using higher numbers and/or longer sequences of operations. Independent Worksheets See Set A2 Independent Worksheets 1 and 2 for more practice solving equations in which the unknown number appears in a variety of positions. Bridges in Mathematics Grade 2 Supplement A2.11

5 Set A2 Number & Operations: Solving Equations Blackline Run a class set. name date Solving Equations page 1 of 2 1 Fill in the missing numbers. a b c = d 9 = e 13 = + 6 f 6 + = 11 g 10 = 6 14 = 7 h = + 8 i j 10 5 = = = 4 + A2.12 Bridges in Mathematics Grade 2 Supplement

6 Set A2 Number & Operations: Solving Equations Blackline Run a class set. name date Solving Equations page 2 of 2 2 Addition. Fill in the missing numbers. a 9 = 7 + b = c 18 = 9 + d = 7 + e 4 + = f 6 + = g = h = 16 i = 16 j = k = l = Subtraction. Fill in the missing numbers. a 11 5 = b 14 7 = c 18 = 10 d 12 6 = 3 + e 15 5 = 6 + f 13 4 = + 6 g 15 = 8 h 16 = 8 i 18 9 = Bridges in Mathematics Grade 2 Supplement A2.13

7 A2.14 Bridges in Mathematics Grade 2 Supplement

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center

The Math Learning Center PO Box 12929, Salem, Oregon Math Learning Center Resource Overview Quantile Measure: Skill or Concept: 350Q Know and use division facts related to multiplication facts through 144. (QT N 162) Find the value of an unknown in a number sentence. (QT A 549)