Working Mathematically

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#### Level contents

- 5:01 Test: Working mathematically
- Testing students in the skills of questioning, applying strategies (problem-solving), communicating, reasoning and reflecting by referring to a beach scene.
- 5:01R Test records: Working mathematically
- Assessment ratings (A to E) are recorded here for the Test 5:01 Working Mathematically.
- 5:02 Working mathematically (and language)...
- How could you test a flat surface to see if it is horizontal? Expectations for outcomes when throwing dice. Problem-solving using trial and error. Use a calculator to change a fraction to a decimal. Show the fraction, decimal and percentage shaded. Label the angle. Convert kg to g. Label the pyramid.
- 5:02C Working mathematically (and language)...
- Questioning and communicating activity. Reasoning - ways to place counters. Name the solid. Complete the pattern and table. Write the rule. Label the definitions for measurement. write the fractions as equivalent.
- 5:02E Working mathematically
- List and compare outcomes between a coin and a spinner. Explore shape in different orientation. Explore area. Identify chance of tossing a head. Money problem.
- 5:03 Working mathematically (and language)...
- How many counting numbers can be shown on a number line if they must be between 2 and 16? Describe the curved line. Identify the 3 numbers that make the given product. Draw the next term in the pattern of hexagons and complete the table showing the number of sides. State the rule. Write the digital times. Interpret the key. Identify the angles.
- 5:04 Working mathematically (and language)...
- How many counting numbers can be shown on a number line if they must be less than four units from 9? Interpret the table. Identify the terms 'random' and 'net'. Equivalence - metres and square centimetres, fractions. Identify perpendicular and parallel lines.
- 5:04E Working mathematically
- Extension page. List the counting numbers that can be shown on a number line if they must be less than 3 units from 7 but more than 1 unit from 8. Mass shown on scales. Circle the three numbers that add to give the total shown. Describe the path of operations on the number given. Manipulate lines to solve problem - trial and error, reasoning. Complete the pattern and the table. Show the rule.
- 5:05 Working mathematically (and language)...
- Count combinations of colours. Complete the table using the rule for the number pattern. Problem solving with plane shapes and operations - trial and error, technology. Rules for order of operations and area. Label protractor and coordinates.
- 5:06 Working mathematically (and language)...
- Problem solving - trial and error, act it out, technology. How would you test a hexagon to see if it is regular? Use the pattern to complete the table and describe the rule. Label perimeter and area as the length of a boundary and the space inside a shape. Convert km to m. How many diagonals in a pentagon?
- 5:06E Working mathematically
- Extension page. Problem solving with plane shapes, and money - trial and error. Combinations of colours. How would you test a quadrilateral to see if it is a rectangle? Use the rule to complete the tables.
- 5:07 Working mathematically (and language)...
- Interpret graph. Problem solving drawing triangles - act it out, draw diagram. Use a calculator to change a fraction to a decimal. Label am or pm. Label picture graph or column graph. Label speed.
- 5:08 Working mathematically (and language)...
- Reflecting and communicating question about the reason a state would have the least number of road accidents. Looking for patterns table. Questioning and reflecting about how an answer based upon inadequate information could be wrong. Count rectangles in a diagram. Labels fractions as improper and mixed. Labels for finding averages rule. Labels for prisms and pyramids.
- 5:08E Working mathematically
- Extension page. Describe the results shown in the graph. Draw quadrilaterals. Reflect and communicate about information given and critique assumptions. Use calculator to find decimals.
- 5:09 Working mathematically (and language)...
- Find average. Describe 3D shapes so they can be drawn. Calculator and operations. List factors. Problem solving - act it out, use technology. Area, perimeter and volume rules. Fractions and division. Using a key.
- 5:10 Working mathematically (and language)...
- Describe results shown on graph. Average and calculator problems - use trial and error, reasoning and technology. Complete pattern table and state rule. Expanding numbers to multiply. Drawing an angle. Label pyramids and prisms as open, triangular or hexagonal.
- 5:10E Working mathematically
- Extension page. Describe 3D object. Complete pattern table and state rule. Complete graph and describe results. Problem solving - Use technology, act it out. Estimate.
- 5:11 Working mathematically (and language)...
- List the digital times that are symmetrical. Interpret the graph. Complete the pattern table and state the rule and the polygon used. Problem solving - using technology, trial and error. Label temperature, metre cube, 24-hour time, Roman numerals.
- 5:12 Working mathematically (and language)...
- Find the sum of the first four consecutive numbers that are greater than 100. Choose a number and follow directions - reasoning. Number operations using a calculator. Complete the pentagon pattern, table and rule. Label triangles. Convert km to m. Multiply and divide by moving the decimal.
- 5:12E Working mathematically
- Extension page. Reasoning questions. Use a flow chart. Graphs and patterns. Chance - match labels to pictures. Find the sum of four consecutive numbers if the smallest is a square number between 170 and 200.
- 5:13 Working mathematically (and language)...
- Reasoning division problem. Draw and reflect probability problem. Using a calculator to make fractions into decimals. Label area of a triangle rule. Label parts of a fraction. Add and subtract fractions. State grid reference.
- 5:14 Working mathematically (and language)...
- Describe the net of a cylinder. Complete the pattern. Communicating and reflecting about shadows. Use a calculator to make repeated subtractions or additions to solve the problems. Write times in 24-hour time. Label graph as a line graph. Label trundle wheel and tape measure. Label a tonne.
- 5:14E Working mathematically
- Extension page. Communicating and reflecting about shadows. Reasoning division problem. Chance problem. Describe the net of a square pyramid. Probability with dice and coins.
- 5:15 Working mathematically (and language)...
- Problem solving - Reflecting, trial and error, reasoning. Calculator - squaring numbers. Complete the pattern, table and rule using triangles. Label the parts of the circles. Interpret the scale on a map.
- 5:16 Working mathematically (and language)...
- Find the correct answer by acting it out or drawing a diagram. Complete the tables for the given pattern and for your own pattern. Use calculator to find the numbers. Interpret the difference in time zones. Add and subtract fractions. Revise rule for area of a triangle.
- 5:16E Working mathematically
- Extension page. Multiple Choice - find the answer to the mass problem by eliminating possibilities. Find a number by reasoning and trial and error. Find all possible outcomes. Match chance labels to pictures.
- 5:17 Working mathematically (and language)...
- Mass problem - trial and error. How many matches would be needed to make the given number of squares - patterns. Perspective. Calculator - mixed operations. Label plan of a room, enlargement and the probability of an event occurring.
- 5:51M Mentals 5:01
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