i see problem solving lks2 pdf

I SEE PROBLEM-SOLVING – LKS2 WORKED EXAMPLES

Aug 05, 2024

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This resource provides 40 engaging tasks for Key Stage 2 students focusing on number and place value concepts. Tasks cover making 3 and 4-digit numbers, working with columns, rounding, fractions, and more. Available as PowerPoint and PDF from www.iseemaths.com.

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B B B B B B G G G G ISEEPROBLEM-SOLVING–LKS2 WORKED EXAMPLES 33 25 84 0 100 GARETH METCALFE Available as PowerPoint and PDF from www.iseemaths.com

I SEE PROBLEM-SOLVING – LKS2 WORKED EXAMPLES • Task 1: Making 3-digit numbers • Task 2: Making 4-digit numbers • Task 3: Numbers in columns • Task 4: 1-100 number line • Task 5: 1-1000 number line • Task 6: Patterns in sequences • Task 7: Count back through 0 • Task 8: Rounding to 10 and 100 • Task 9: Rounding money • Task 10: Roman Numerals • Task 11: Consecutive numbers • Task 12: Make 24 • Task 13: Number sentences • Task 14: = and > signs • Task 15: Bordering 10 • Task 16: Positioning digits to add • Task 17: Positioning digits to subtract • Task 18: Sum and difference • Task 19: More boys or girls? • Task 20: Part/whole word questions CONTENTS I SEE PROBLEM-SOLVING – LKS2

I SEE PROBLEM-SOLVING – LKS2 WORKED EXAMPLES • Task 21: Change at the shop • Task 22: × + number sentences • Task 23: Area models • Task 24: Largest product • Task 25: 2-digit product • Task 26: Shapes with matchsticks • Task 27: Division in context • Task 28: Different quotients • Task 29: Finding factors • Task 30: Venn diagrams • Task 31: Different answers • Task 32: Questions in context • Task 33: Combinations • Task 34: Estimating fractions • Task 35: Fraction of a shape • Task 36: Parts and the whole • Task 37: Fractions on a line • Task 38: Sharing contexts • Task 39: Fraction of a number • Task 40: Balancing scales CONTENTS I SEE PROBLEM-SOLVING – LKS2

I SEE PROBLEM-SOLVING – LKS2 WORKED EXAMPLES • Task 41: Measures of time • Task 42: Reading clocks • Task 43: Combinations of change • Task 44: Comparing angles • Task 45: Area and perimeter • Task 46: Shape properties • Task 47: Building shapes • Task 48: Lines of symmetry • Task 49: Coordinate points • Task 50: After-school clubs • Task 51: Different graph types • Task 52: Making judgements • Task 53: Train timetables • Task 54: Comparing teams CONTENTS I SEE PROBLEM-SOLVING – LKS2

Task 1: Making 3-digit numbers 340 10 10 10 10 • 100 • 100 • 100 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 1: Making 3-digit numbers 340 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 • 100 • 100 • 100 • 100 • 100 340 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 1: Making 3-digit numbers 340 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 • 100 • 100 • 100 • 100 • 100 • 100 340 340 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 1: Making 3-digit numbers 340 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 • 100 • 100 • 100 • 100 • 100 • 100 340 340 340 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Example Answers Task 2: Making 4-digit numbers 2150 2 × • 100 1 × 10 • 1000 5 × NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Example Answers Task 2: Making 4-digit numbers 2150 2150 2 × 1 × • 100 • 100 1 × 11 × 10 10 • 1000 • 1000 5 × 5 × NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Example Answers Task 2: Making 4-digit numbers 2150 2150 2 × 1 × • 100 • 100 • 100 1 × 11 × 10 10 10 • 1000 • 1000 5 × 5 × 2150 21 × 5 × NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Example Answers Task 2: Making 4-digit numbers 2150 2150 2 × 1 × • 100 • 100 • 100 1 × 11 × 10 10 10 10 • 1000 • 1000 5 × 5 × 2150 2150 21 × 215 × 5 × NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 3: Numbers in columns H T O NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 3: Numbers in columns H T O 112 121 130 202 211 220 301 310 400 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 3: Numbers in columns H T O 112 121 130 202 211220 301 310 400 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line 100 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line 50 is half-way. 100 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line 40 is less than half-way, 59 is more than half-way. 100 59 40 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line 100 59 84 40 32 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line The red arrow (0→32) is double the length of the purple arrow (84→100). 100 59 84 40 32 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line The green arrow (40→59) is slightly longer than the purple arrow (84→100). 100 59 84 40 32 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line The red arrow (0→32) is four times longer than the blue arrow (32→40). 100 59 84 40 32 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 4: 0-100 number line Smallest to largest: blue (32→40), purple (84→100),green (40→59),orange (59→84),red (0→32). 100 59 84 40 32 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line 1000 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line 500 is half-way. 1000 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line 1000 790 931 325 82 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line The purple arrow (931→1000) is approximately half the length of the orange arrow (790→931). 1000 790 931 325 82 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line The blue arrow (82→325) is approximately three times longer than the red arrow (0→82). 1000 790 931 325 82 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 5: 0-1000 number line Smallest to largest: purple (931→1000),red (0→82),orange (790→931),blue (82→325),green (325→790). 1000 790 931 325 82 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = 1 • 0 • 2 • 3 • 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = 1 Must be even number: when multiplied by 5 even numbers end in 0. • 0 • 2 • 3 • 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = First 2-digit number here: only times table that has this is 4× table. 1 Must be even number: when multiplied by 5 even numbers end in 0. • 0 • 2 • 3 • 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = • 4 • 4 First 2-digit number here: only times table that has this is 4× table. • 4 • 8 • 4 1 • 2 • 4 • 1 • 6 Must be even number: when multiplied by 5 even numbers end in 0. • 4 • 2 • 0 • 4 • 2 • 4 • 4 • 2 • 8 • 4 • 3 • 2 • 4 • 3 • 6 • 4 • 4 • 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = 1 • 8 • 0 • 2 • 4 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = 1 • 8 Must be even number: when multiplied by 5 even numbers end in 0. • 0 • 2 • 4 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = First 2-digit number here: true for 5→9 times tables. 1 • 8 Must be even number: when multiplied by 5 even numbers end in 0. • 0 • 2 • 4 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = First 2-digit number here: true for 5→9 times tables. 1 • 8 Must be even number: when multiplied by 5 even numbers end in 0. • 0 • 2 To have these ones values, this must be the 6 × table. • 4 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 6: Patterns in sequences 1 × = 2 × = 3 × = 4 × = 5 × = 6 × = 7 × = 8 × = 9 × = 10 × = • 6 • 6 First 2-digit number here: true for 5→9 times tables. 1 • 6 • 2 • 6 1 • 8 • 6 • 2 • 4 Must be even number: when multiplied by 5 even numbers end in 0. • 6 • 3 • 0 • 6 • 3 • 6 • 6 • 4 • 2 To have these ones values, this must be the 6 × table. • 6 • 4 • 8 • 6 • 5 • 4 • 6 • 6 • 0 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 7: Count back through 0 Example A 10 -1 -4 -2 1 5 6 8 -3 11 12 0 3 4 7 2 9 Start counting from Count back in steps of The first negative number is NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

Task 7: Count back through 0 Example A 10 -1 -4 -2 1 5 6 8 -3 11 12 0 3 4 7 2 9 9 Start counting from Count back in steps of The first negative number is • 3 NUMBER AND PLACE VALUE I SEE PROBLEM-SOLVING – LKS2

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WORKED EXAMPLES I SEE PROBLEM-SOLVING – LKS2 GARETH METCALFE

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LKS2 Maths Reasoning Booklet

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

26 June 2024

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I See Reasoning – LKS2 is written to provide rich, open contexts for mathematical discussion and enquiry.

Children build on their current understanding when solving ‘I know… so…’ questions. Concepts are represented visually in ‘Read the picture’ tasks. Friends work systematically to find all possible solutions for the ‘How many ways?’ challenges.

The resource is comprised of 240 varied tasks, linked to all different areas of the lower KS2 mathematics curriculum. These activities correspond to US grades 2-3 and Australian years 3-4. Screenshots of tasks can be used within presentations or printed and given to children.

I hope that I See Reasoning enriches the maths learning in your classroom!

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