Bridging the Gap for Language Minority Students and ELLs in Math Notetaking Guide Ideas/concepts/terms related to English Things to keep in mind about my own language learning: students: Thoughts on scaffolds that might be useful: Things that are good for many students but might be essential for ELLs: Things to look up later: Other/Misc./Don’t-‐forgets” Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 1 Reading Writing Listening Which MPs? Speaking Scaffold/Idea Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 2 Grade 4: Using Pictures and Manipulatives to Add and Subtract Fractions with the Same Units Today’s Objective I will use pictures and manipulatives to show how to add and subtract fractions using the same units. Opening Exercise: Count by equivalent fractions. Use this number line to help count by eighths. How many students did we need to count to one whole when we counted in fourths? Write your answer in this box. Compare Fractions Vocabulary word: partition What part of speech is partition? __________ The definition of partition is: ___ _______________ ________ _________. Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 3 Use this space to draw two rectangles. These will be our area models. ! Partition your first area model to show . " " Partition your second area model to show . % 1 3 5 10 1 5 4 8 Partition area models to compare and . Partition area models to compare and . Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 4 1 3 3 4 Partition area models to compare and . Application Problem 1 2 How did I compare and ? 2 5 I can use these sentence starters to explain. First, I ___. Then, I ____. Next, I ____. Finally, I _____. 5 Keisha ran mile in the morning. 2 6 She ran mile in the afternoon. 3 Which distance was longer? Did Keisha run farther in the morning or in the afternoon? Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 5 Complete these sentences: First, I… Then, I… Next, I… Finally, I… Problem 1 Divide this number line into sixths. 0 What is the subtraction sentence? Write it here. & % Now try ' − '. 1 Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 6 Problem 2 Solve this in unit form, and write a number sentence using fractions. 𝟏𝟎 𝟐 − = 𝟔 𝟔 Vocabulary word: decompose What part of speech is decompose? __________ The definition of decompose is: ___ ________ __________ into ____________ __________. Now try this. Solve this in unit form, and write a number sentence using fractions. 𝟗 𝟓 𝟑 − = 𝟓 Problem 3 Let’s look at this example again: Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 7 In the same way, now show: 2 3 5 + = 8 8 8 0 1 Problem 4 Vocabulary word: sum What part of speech is sum? __________ The definition of sum is: ___ _______________ ___ _____________. Use a number bond to decompose the sum into a whole and some parts. 5 4 2 7 4 4 4 10 6 6 + = Use a number bond to decompose the sum into a whole and some parts. 6 6 + = Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 8 Problem Set Name __________________________________________________________ Date _____________________________ 1. Solve. a. 3 fifths – 1 fifth = __________________ b. 5 fifths – 3 fifths = _______________ c. 3 halves – 2 halves = _______________ d. 6 fourths – 3 fourths = ____________ 2. Solve. a. c. e. % 0 1 − 1 ' b. 0 1 !2 % − d. !2 − ' f. ' % 0 % % % ' 1 − 0 ' − % 1 − ' 3. Solve. Use a number bond to show how to convert the difference to a mixed number. Problem (a) has been completed for you. a. !" 3 1 5 ! 3 3 3 − = = 1 c. e. 5 % 3 ' !" b. 3 1 − = 3 8 1 8 8 1 − % " − ' d. !' f. !% 1 − 3 3 !2 1 − !2 4. Solve. Write the sum in unit form. a. 2 fourths + 1 fourth = _______________ b. 4 fifths + 3 fifths = _____________ 5. Solve. a. " 3 % + b. 3 ' % !" + !" 6. Solve. Use a number bond to decompose the sum. Record your final answer as a mixed number. Problem (a) has been completed for you. a. 1 % c. e. 0 5 % 0 ' & " % % % + = = 1 b. ' ' 1 + ' 5 2 5 5 0 + 5 & + 0 d. f. & !2 5 3 + 0 !2 % + 3 Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 9 7. Solve. Then use a number line to model your answer. & a. ' % − b. ' % ' " + ' Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 10 Student Debrief The _________ model helps me add fractions because… Number bonds help to decompose fractions into mixed numbers because… When adding fractions, it is important to remember to… Exit Ticket Solve. Use a number bond to decompose the difference. Record your final answer as a mixed number. Use a visual representation (like a number line) to show your thinking. 𝟏𝟔 𝟓 − 𝟗 𝟗 Solve. Use a number bond to decompose the sum. Record your final answer as a mixed number. Use a visual representation (like a number line) to show your thinking. 𝟓 𝟏𝟐 + 𝟏𝟎 𝟏𝟐 Bridging the Gap, Notetaking Guide Grade 4, Module 5 , L esson 16 from EngageNY.org of the New York State Education Department is licensed under CC BY-‐NC-‐SA 3.0. 11
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