Happening in the Hundreds
Resource Overview Quantile® Measure:
Skill or Concept:
610Q Model multiplication in a variety of ways including repeated addition, rectangular arrays, and skip counting. (QT‐N‐118) Find multiples, common multiplies, and the least common multiple of numbers; explain. (QT‐N‐221)
Excerpted from:
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Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding Identify Patterns in Multiplication
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“Happening in the Hundreds”
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Teacher note: Although we are using a hundreds chart in this activity, it is important that manipulatives are available for the students to create the multiplication problems. By marking the hundreds chart, patterns will appear to help the students learn and retain their multiplication facts. Group size: whole-class discussion, while working in pairs Materials: Instructional Strategy, pages 10-11; color guide, page 12; paper copies and transparency of the hundreds chart, page 13; colored pencils (see page 12); recording sheets, pages 14-15; 100 counters per pair Before class: Copy pages 12-15 for each pair of students. Sharpen colored pencils. Gather 100 counters for each pair. Directions: • Distribute pages 12-15, a set of colored pencils, and 100 counters to each pair. • Direct the students through the activity using the Instructional Strategy.
Questioning Technique Instructional Strategy Say: Using counters, show me 2 x 1. (Verify pairs are showing 2 groups of 1 or an array of 2 by 1.) Ask: What is the answer? (2) Say: Take a blue colored pencil, and circle the 2 on your hundreds chart. Say: Using counters, show me 2 x 2. (Verify pairs’ presentations.) Ask: What is the answer? (4) Say: Using the same blue colored pencil, circle the 4 on your hundreds chart. Repeat this process for 2 x 3, 2 x 4, and 2 x 5. Say: These are called multiples of 2. Multiples are the product of a given whole number and another whole number. Ask: Are there more multiples of 2? (Yes.) Say: Find all the multiples of 2 on this hundreds chart. You can use your counters if necessary, but look for patterns to make your job easier! Circle each multiple using the same blue pencil. Give students time to work. When they are finished, ask the students to locate their recording sheets, pages 14-15, and continue with the following questions. Ask: Did anyone find a pattern? (Yes. They are all even numbers; it is every other number.) (Have each pair record descriptions of the pattern on its recording page under “Multiples of 2.”)
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Gourmet Curriculum Press, Inc.©
Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding Identify Patterns in Multiplication “Happening in the Hundreds” Questioning Technique Instructional Strategy Students will repeat this procedure using the color guide on page 12. If a number is already circled on the chart, they will circle it again. But, they need to make sure all the colors can be seen to help identify patterns. When all pairs have finished, continue with the following questions. Say: Let’s just look at the multiples of 4. Ask: What color are the multiples of 4? (red) Ask: Was there ever a multiple of 4 that didn’t have another circle already on it? (No.) Ask: What color circle is always on the multiples of 4 also? (Every multiple of 4 also has a blue circle around it.) Ask: What does that tell us about multiples of 4? (Answers will vary, but should indicate that they are all even numbers, and multiples of 4 are every other two.) Say: Record these statements on the recording sheet with your previous information. Say: Let’s look at the multiples of 5. Ask: What color are the multiples of 5? (brown) Ask: What do you notice about all the multiples of 5? (They all end with a 5 or 0.) Say: Record these statements on the recording sheet with your previous information. Ask: What 3 colors are on every multiple of six? (blue, green, and purple) Ask: What does this tell us? (All numbers that are multiples of six are also even and multiples of 2 and 3.) Say: Record these statements on the recording sheet with your previous information. Ask for more patterns that they discovered and add these to their recording sheet. Some of the patterns they are likely to find include: • Multiples of 8 are even, every other multiple of 4, and every 4th multiple of 2. • Multiples of 10 end in zero. • Multiples of 9 are every 3rd multiple of 3. • Multiples of 12 are even; every 12 has a 2, 3 and 6 multiple. Ask: How can patterns help us as we are learning our multiplication? (Answers will vary, but students should realize that they can use these patterns to find the answers when their memory falters.) Ask: If you know 11 x 11 = 121, how can you find 11 x 12? (Just add 11 more.) Gourmet Curriculum Press, Inc.©
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Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding—Color Guide Identify Patterns in Multiplication “Happening in the Hundreds”
Multiples of 2 3 4 5 6 7 8 9 10 11 12
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Color to use Blue Green Red Brown Purple Yellow Orange Pink Light Green Light Blue Black
Gourmet Curriculum Press, Inc.©
Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding—Hundreds Chart Identify Patterns in Multiplication “Happening in the Hundreds”
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Gourmet Curriculum Press, Inc.©
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Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding—Recording Sheet Identify Patterns in Multiplication “Happening in the Hundreds”
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Name:
Multiples of 2
Multiples of 3
Multiples of 4
Multiples of 5
Multiples of 6
Gourmet Curriculum Press, Inc.©
Unit 1 – Lesson 2
Algebraic Thinking
Student Expectation: Students will use a 100’s chart to identify patterns in multiplication
Checking for Understanding—Recording Sheet Identify Patterns in Multiplication “Happening in the Hundreds” Multiples of 7
Multiples of 8
Multiples of 9
Multiples of 10
Multiples of 11
Multiples of 12
Gourmet Curriculum Press, Inc.©
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