Word Problems No Problem Additive Schemas and Multiplicative

www. sarahpowellphd. com srpowell@austin. utexas. edu @sarahpowellphd 119 Copyright 2020 Sarah R. Powell, Ph.

Teaching Problem Solving Have an attack strategy Teach word-problem schemas Copyright 2020 Sarah R.

Have an attack strategy Copyright 2020 Sarah R. Powell, Ph. D.

Have an attack strategy https: //jamboard. google. com/d/1 m_R 2 O 9 n. Swwj

What attack strategy do you plan to use? Why? Copyright 2020 Sarah R. Powell,

Teach word-problem schemas Total Equal Groups Difference Comparison Change Ratios/Proportions Copyright 2020 Sarah R.

Total Parts put together into a total Emily saw 4 cardinals and 5 blue jays. How many birds did Emily see? Emily saw 9 birds. If 4 of the birds were cardinals, how many were blue jays? Emily saw 9 birds. 5 of the birds were blue jays, how many were cardinals? Copyright 2020 Sarah R. Powell, Ph. D.

Difference Greater and lesser amounts compared for a difference Shinead has 9 apples. Amanda has 4 apples. How many more apples does Shinead have? (How many fewer? ) Shinead has 5 more apples than Amanda. If Amanda has 4 apples, how many does Shinead have? Amanda has 5 fewer apples than Shinead has 9 apples. How many apples does Amanda have? Copyright 2020 Sarah R. Powell, Ph. D.

Change An amount that increases or decreases Shannah had $4. Then she earned $3 for cleaning her room. How much money does Shannah have now? Shannah has $4. Then she earned money for cleaning her room. Now Shannah has $7. How much money did she earn? Shannah had some money. Then she made $3 for cleaning her room. Now she has $7. How much money did Shannah start with? Copyright 2020 Sarah R. Powell, Ph. D.

Total “Are parts put together for a total? ” Difference “Are amounts compared for

Change +/– C = E Fuchs et al. (2008); Griffin & Jitendra (2009) ST

Change Copyright 2020 Sarah R. Powell, Ph. D.

Change An amount that increases or decreases Reece baked 9 cookies. Then, she ate 2 of the cookies. How many cookies does Reece have now? Reece baked 9 cookies. Then, she ate some of the cookies. Now, she has 7 cookies. How many cookies did Reece eat? Reece baked some cookies. She ate 2 of the cookies and has 7 cookies left. How many cookies did Reece bake? Copyright 2020 Sarah R. Powell, Ph. D.

Change What’s a Change problem? Copyright 2020 Sarah R. Powell, Ph. D.

Total P 1 + P 2 + P 3 = T Copyright 2020 Sarah

Change ST – C + C = E Copyright 2020 Sarah R. Powell, Ph.

Schema Quiz Time! Copyright 2020 Sarah R. Powell, Ph. D.

Grade 3 PARCC Change Copyright 2020 Sarah R. Powell, Ph. D.

Grade 3 STAAR Difference Copyright 2020 Sarah R. Powell, Ph. D.

Grade 3 PARCC Total Copyright 2020 Sarah R. Powell, Ph. D.

Equal Groups multiplied by number in each group for a product Mark has 2 bags of apples. There are 6 apples in each bag. How many apples does Mark have altogether? Mark has 12 apples. He wants to share them equally among his 2 friends. How many apples will each friend receive? Mark has 12 apples. He put them into bags containing 6 apples each. How many bags did Mark use? Copyright 2020 Sarah R. Powell, Ph. D.

Equal Groups G × Copyright 2020 Sarah R. Powell, Ph. D. N = P

Equal Groups “Are there groups with an equal number in each group? ” Copyright

Equal Groups Copyright 2020 Sarah R. Powell, Ph. D.

Equal Groups What’s an Equal Groups problem? Copyright 2020 Sarah R. Powell, Ph. D.

Comparison Set multiplied by a number of times for a product Jill picked 6

Comparison S Copyright 2020 Sarah R. Powell, Ph. D. × T = P

Equal Groups “Are there groups with an equal number in each group? ” Comparison

Comparison Copyright 2020 Sarah R. Powell, Ph. D.

Comparison What’s a Comparison problem? Copyright 2020 Sarah R. Powell, Ph. D.

Ratios/Proportions Description of relationships among quantities Sally typed 56 words in 2 minutes. At this rate, how many words could Sally type in 7 minutes? Xin et al. (2005) Margarita baked cookies and brownies. The ratio of cookies to brownies was 3: 5. If she baked 25 brownies, how many cookies did she bake? Copyright 2020 Sarah R. Powell, Ph. D.

Ratios/Proportions Xin et al. (2005) Description of relationships among quantities Copyright 2020 Sarah R.

Equal Groups “Are there groups with an equal number in each group? ” Comparison “Is a set compared a number of times? Ratios/Proportion s “Are there relationships among quantities - if this, then this? ” Copyright 2020 Sarah R. Powell, Ph. D.

Ratios/Proportions Copyright 2020 Sarah R. Powell, Ph. D.

Ratios/Proportions What’s a Ratios/Proportions problem? Copyright 2020 Sarah R. Powell, Ph. D.

Grade 4 PARCC Equal Groups Copyright 2020 Sarah R. Powell, Ph. D.

Grade 5 STAAR Ratios/Proportion s Copyright 2020 Sarah R. Powell, Ph. D.

Grade 4 Smarter Balanced Comparison Copyright 2020 Sarah R. Powell, Ph. D.

For Friday Write problems: • Change • Equal Groups • Comparison • Ratios/Proportions Copyright 2020 Sarah R. Powell, Ph. D. https: //jamboard. google. com/d/1 m_R 2 O 9 n. Swwj 9 B 05 b. Se. Z 6 r 2 f. JQBYp 667 dk 7 M 3 ys 2 AD 1 g/edit? usp=sharing