TEXAS SAMPLE PAGES SENIOR AUTHORS James Burnett Calvin Irons PROGRAM CONSULTANTS Diana Lambdin Frank Lester, Jr. Kit Norris contributing authors Beth Lewis Peter Stowasser Allan Turton STUDENT JOURNAL 7.1 Step In Exploring Combinations of Ten Look at these cubes. Step Up 1.Color some of the cubes. Then write a matching addition sentence. + = 10 + = 10 + = 10 b. SA M a. PL E What addition sentence matches the picture? How else could you break up the cubes? What other addition sentences could you write? © ORIGO Education. c. 152 211215 ORIGO Stepping Stones Texas • Grade 1 7.1 2.Color some of the cubes to make three parts. Then write a matching sentence. a. + + = + + = 10 PL E b. M c. SA d. © ORIGO Education. Step Ahead + + = + + = Think of some different ways to break up 1 1 cubes. Then complete these addition sentences to match. + = + = ORIGO Stepping Stones Texas • Grade 1 211215 + 11 11 11 11 = + = + + 153 7.2 Step In Using the Associative Property of Addition with Three Whole Numbers How many bugs are there in total? How do you know? PL E I know there are 12 because 6 + 4 is 10 and 2 more are 12. What addition sentence could you write to show how you added? 1.Draw to show two groups that make 10. Write an addition sentence to show how you add to find the total. M Step Up b. SA a. + + = 154 = + + = d. + 211215 + + = ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. c. + 7.2 2.Figure out the total. Write an addition sentence to show how you added. a. b. + + = + + + = SA M e. + © ORIGO Education. Step Ahead + = + + = + + = f. Write three different addition sentences to match this picture. + + = + + = + + = ORIGO Stepping Stones Texas • Grade 1 211215 = d. PL E c. + 155 7.3 Step In Introducing the Make-Ten Strategy for Addition Look at this picture of counters. How can you figure out the total? PL E I moved one counter to make a group of 10. This made it easier to add. M 9+3 is the same as 10 + 2. 10 + 2 is 12. SA How would you use this strategy to figure out 9 + 6? 1. Draw more counters. Then write the numbers to match. a. Draw 5 more. see think 156 211215 9 + 5 10 + 4 b. Draw 3 more. see think + + ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. Step Up 7.3 2. Draw more counters. Then write the numbers to match. a. Draw 6 more. see b. Draw 7 more. see + think think + d. Draw 5 more. see M + + + think + SA think + PL E c. Draw 4 more. see + © ORIGO Education. Step Ahead Think of six different ways this cube train could be broken into two groups. Complete the addition sentences to match. + = + = + = + = + = + = ORIGO Stepping Stones Texas • Grade 1 211215 157 7.4 Step In Using the Make-Ten Strategy for Addition What do you notice about the counters in this picture? How can you easily figure out the total? PL E I would move two counters to fill the frame then figure out the total. M If you moved two counters, what addition sentence could you write to show the number of counters that would be on and off the frame? 1.Draw more counters to figure out the total. Fill the ten-frame first. Then write the tens fact to match the picture. 9+3= 10 158 211215 b. + = c. 9+6= 10 + = 8+4= 10 + = ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. a. SA Step Up 7.4 2.Draw more counters to figure out the total. Fill the ten-frame first. Then write the tens fact to match the picture. b. 9+5= + c. 8+5= 9+7= PL E a. = + d. = e. = f. 9+8= 8+3= SA M 8+7= + + = Step Ahead © ORIGO Education. = + = Loop the facts that have the same total as the counters in this picture. 9+3 8+5 8+4 ORIGO Stepping Stones Texas • Grade 1 211215 + 7+5 8+3 159 7.5 Step In Using the Commutative Property of Addition with Make-Ten Facts What two addition facts match this picture? Which fact do you think is easier to figure out? Why? 1.Write an addition fact to match each picture. Then write the turnaround fact. b. + 160 211215 = + SA + c. M a. = + = + = = + = e. f. + = + = + = + = + = + = ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. Step Up d. PL E I find it easier to figure out 9 + 4 then write the turnaround. 7.5 2.Write an addition fact to match each picture. Then write the turnaround fact. a. b. + = + + = = = + 7 M = = + = + = 9 = SA + + f. + 3 = 6 e. + + PL E = d. = 9 8 + c. Step Ahead Add the numbers in each row. Then add the numbers in each column. Write what you notice. © ORIGO Education. 8 1 6 3 5 7 4 9 2 ORIGO Stepping Stones Texas • Grade 1 211215 161 7.6 Step In Consolidating Addition Strategies Look at these pictures. 14 15 16 17 18 PL E 13 How could you figure out the total in each picture? Which addition strategy would you use? 2+9= 5+8= SA 6+7= M Which addition strategy would you use to solve each of these facts? 162 211215 1.Write the answer. Then color the circle Addition Strategy green, blue, or orange to show the strategy you used to figure out the total. count-on doubles make-ten 13 + 1 = 9+8= 5+6= 3+9= 2 + 16 = 8+8= 9+2= 7+9= ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. Step Up 7.6 2.Write the answer. Then draw a line to the strategy you used to figure it out. 7+5= 2 + 11 = count-on 15 + 3 = 15 + 2 = doubles 5+9= PL E 7+8= 9+9= 18 + 1 = make-ten 6+8= M 9+6= You can use more than one strategy to solve the same fact. Complete these to show the different ways these totals can be figured out. a. Use the make-ten strategy b. Use the make-ten strategy SA Step Ahead 8+6= 9+8= 10 is the same as + = Use the double-plus-1 strategy 10 © ORIGO Education. plus ORIGO Stepping Stones Texas • Grade 1 211215 = 8+6= is the same as 8 + Use the double-plus-2 strategy 9+8= double is the same as = is the same as double 6 plus = 163 7.7 Applying Addition Strategies SA M PL E Step In Choose one sheet of stickers from each row. Use numbers that are easy to add. How did you decide? What is an addition story that matches the sheets you chose? What addition sentence could you write to match? What strategy did you use to figure out the total? 164 211215 ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. Choose two sheets of stickers with numbers that are easy to add. How did you decide? What is an addition story that matches the sheets you chose? What addition sentence could you write to match? What strategy did you use to figure out the total? 7.7 Step Up 1.Color two number cards. Use your numbers to write an addition sentence. Then write a word story to match. 9 5 8 4 + = b. 7 9 8 9 + = M PL E a. SA 2.Color three number cards. Use your numbers to write an addition sentence. Then write a word story to match. 6 5 9 4 + + = © ORIGO Education. 0 Step Ahead Imagine you had one of each pack of stickers shown on page 164. How many stickers would you have in total? Try to make tens first, then find the total. ORIGO Stepping Stones Texas • Grade 1 211215 165 7.8 Step In Adding Equal Groups PL E Look at these groups of spaceships. What do you notice? How many groups are there? How many spaceships are in each group? What addition sentence would you write to figure out the total? M What is another way these spaceships could fly in equal groups? What addition sentence would you write to match? Step Up 2 166 211215 + 2 + 2 = b. 6 + 6 = ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. SA a. 1. Complete each addition sentence. 7.8 2. Write an addition sentence to match each picture. a. b. 4 groups of 2 b. 3 groups of 4 SA M a. PL E 3.Draw groups of balls to match these labels. Then write an addition sentence to figure out the total. Draw pictures to show two different ways 12 marbles can be split into equal groups. Then write an addition sentence to match each picture. © ORIGO Education. Step Ahead ORIGO Stepping Stones Texas • Grade 1 211215 167 7.9 Step In Solving Addition Word Problems Some friends are shopping in a fishing store. They each have $20 to spend. What items could they buy? Fi shin g Li n e $5 Fi $8 $12 PL E $3 Mana buys a packet of fishing hooks and a roll of fishing line. What amount does she spend? Theo buys four packets of fishing hooks. What amount does he spend? 1. Use the prices above to solve each of these problems. Draw pictures or write number sentences to show your thinking. Then write the answer in the box. a. Stella buys a packet of hooks and a fishing net. What amount does she spend? $ 168 211215 b. Denton buys two bottles of sunscreen and one packet of hooks. What is the total cost? $ ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. SA Step Up M Olivia spends exactly $13. What items did she buy? 7.9 2. Solve each of these problems. a. Marcos counts 9 boys and 4 girls fishing at the beach. How many people are fishing? b. Ella puts 4 fish in each bucket. She has 3 buckets. What is the total number of fish? fish PL E people d. Miles sold 8 large fish and 7 small fish. He has 2 more fish left to sell. How many fish has he sold? SA M c. Lucy caught 2 fish on Monday, 6 fish on Tuesday, and 4 fish on Friday. How many fish did she catch? Loop three of these numbers. 8 0 5 Use your numbers to write an addition word problem. Then exchange books with another student and solve their problem. fish 2 © ORIGO Education. Step Ahead fish ORIGO Stepping Stones Texas • Grade 1 211215 169 0 7.1 Step In Identifying Examples and Non-Examples of One-Half (Length Model) This strip of paper was folded and then opened out again. How was the strip of paper folded? How could you prove that the strip of paper has been folded to show one-half? PL E Which of these strips was not folded in half? How do you know? b. c. M a. 1.Color red one of the parts in each strip. Then loop the strips that show one-half in red. SA Step Up d. 170 211215 © ORIGO Education. e. ORIGO Stepping Stones Texas • Grade 1 7.1 0 2.How did you decide which strips in Question 1 show one-half? 3.Draw a line to show one-half of each strip of paper. PL E a. b. SA d. M c. e. Color this strip to show a fraction that is a little more than one-half. © ORIGO Education. Step Ahead ORIGO Stepping Stones Texas • Grade 1 211215 171 1 7.1 Step In Identifying Examples and Non-Examples of One-Fourth (Length Model) Violeta folds a strip of paper in half. She then folds the same strip of paper in half again. The strip of paper is now folded into fourths. PL E Draw lines on this strip where you think the paper was folded. M How did you decide where to draw the fold lines? SA Which of these strips is not folded into fourths? How do you know? Step Up 1. Draw lines to show fourths on each strip. a. 172 211215 © ORIGO Education. b. ORIGO Stepping Stones Texas • Grade 1 7.1 1 2.Color red one of the parts in each strip. Then loop the strips that show one-fourth in red. a. b. PL E c. e. M d. SA 3. How did you decide which strips to loop in Question 2? Color this strip to show a fraction that is a little less than one-fourth. © ORIGO Education. Step Ahead ORIGO Stepping Stones Texas • Grade 1 211215 173 2 7.1 Step In Consolidating One-Half and One-Fourth (Length Model) Color this strip of paper to show one-half. How could you prove that the strip shows one-half? PL E Color this strip of paper to show one-fourth. How could you prove that the strip shows one-fourth? b. c. d. 174 211215 one-half or one-fourth one-half or one-fourth one-half or one-fourth one-half or one-fourth ORIGO Stepping Stones Texas • Grade 1 © ORIGO Education. a. 1.Color red one part in each strip. Then loop the fraction that describes the red part. SA Step Up M I could cut out and then fold the strip to show that one-fourth is half the length of one-half. 7.1 2 2. For each strip, write the fraction that is shaded. a. b. PL E c. SA e. M d. Step Ahead Each strip of paper shows one whole. Shade the beside the strip that has the correct fractions labeled. one-fourth © ORIGO Education. one-fourth one-half ORIGO Stepping Stones Texas • Grade 1 211215 one-fourth one-fourth one-fourth one-fourth one-half 175
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