NZ Mathematics s 1-6 Objectives Addressed Age Objectives 4-7 1-2 1 1. Order and compare lengths, masses and volumes (capacities), and describe the comparisons, using measuring language; 2. Measure by counting non-standard units. Read aspects of time, including days of the week and clocks (to hours and half hours) 1. Identify, and describe in their own language, the following 2D and 3D shapes: triangle, square, circle, oval, pentagon, hexagon, cylinder, sphere 2. Classify objects by space attributes; 3. Follow a sequence of instructions related to movement and position. 1. Create and talk about symmetrical and repeating patterns; 2. Recognise rotation through quarter and half turns. 1. Make and describe repeating and sequential patterns; 2. Continue a repeating and sequential pattern. 1. Write number sentences, using =, from story contexts. Statistical Investigations 1. Sort everyday objects into categories, count the number of objects in each category and display and discuss the results. 7-9 3-5 2 1. Carry out practical measuring tasks, using appropriate units for length, mass and capacity. Read time and know the units of time minute, hour, day, week, month and year. 1. Name and describe, using their own language and the
NZ Mathematics s 1-6 Objectives Addressed Age Objectives language of geometry, everyday shapes and objects; 2. Describe and interpret position, using the language of direction and distance. 1. Create and talk about geometric patterns which repeat (show translation) or which have rotational or reflectional symmetry; 2. Make clockwise and anticlockwise turns. 1. Continue a sequential pattern, and make a rule for this; 2. Use graphs to illustrate relationships Statistical Investigations 1. Display category data and whole number data in pictograms, tally charts and bar charts. Interpreting Statistical reports 1. Make sensible statements about the situation represented by a statistical data display 9-11 5-6 3 1. Demonstrate knowledge of the basic units of length, mass, area, volume (capacity) by making reasonable estimates. 2. Measure using a range of units and scales. 1. Read and interpret everyday statements involving time; 2. Show analogue time as digital time, and vice versa 1. Describe features of 2D and 3D objects, using the language of geometry; 2. Describe 3D objects illustrated by diagrams or pictures; 3. Interpret simple scale maps. 1. Describe patterns in terms of reflection and rotational symmetry, and translations. 1. Describe in words, rules for continuing number and spatial sequential patterns; 2. State the general rule for a set of similar practical problems;
NZ Mathematics s 1-6 Objectives Addressed Age Objectives 3. Use graphs to represent number, or informal, relations. 1. Solve problems of the type # + 15 = 39 1. Discuss outlying values in statistical information; 2. Make sensible statements about an assertion on the basis of the evidence of a statistical investigation. Exploring Probability 1. Use a systematic approach to count a set of possible outcomes; 2. Predict the likelihood of outcomes on the basis of a set of observations. 11-13 7-8 4 1. Read scales to the nearest gradation; 2. Calculate the perimeters of circles, rectangles and triangles, areas of rectangles, and volumes of cuboids from measurements of length; 3. Read a variety of scales, timetables and charts. Perform calculations with time, including 24-hour clock times. 1. Investigate nets of simple polyhedra; 2. Given a drawing of a solid object, recognise diagrams of the view from the top, front, side and back; 3. Specify location, using bearings or grid references. 1. Apply the symmetries of regular polygons 2. Describe the reflection or rotational symmetry of a figure or object. 1. Find a rule to describe any member of a number sequence and express it in words; 2. Use a rule to make predictions; 3. Interpret graphs on whole-number grids which represent everyday situations. 1. Find a word formula which represents a given practical situation;
NZ Mathematics s 1-6 Objectives Addressed Age Objectives 2. Solve simple linear equations. 1. Report the distinctive features of data displays; 2. Evaluate interpretations of data display 13-15 9-11 5 1. Find perimeters, areas and volumes of everyday objects (including irregular and composite shapes). Interpret and use information about rates presented in a variety of ways, for example, graphically, numerically, or in tables. 1. Use the angle properties of parallel lines; 2. Apply the angle and symmetry properties of polygons; 3. Use the angle between a tangent and radius property, and the angle-in-a-semicircle property; 4. Find an unknown side in a right-angled triangle using Pythagorus s theorem. 1. Use the symmetry and angle properties of polygons to solve practical problems; 2. Identify and use invariant properties under transformations. 1. Generate patterns from a structured situation, find a rule for a general term, and express it in words and symbols; 2. Generate a pattern from a rule; 3. Interpret graphs which represent everyday situations; 4. Graph linear rules and interpret the slope and intercepts on an integer-coordinate system. 1. Evaluate linear expressions by substitution; 2. Solve linear equations; 3. Combine like terms in algebraic expressions; 4. Simplify algebraic fractions; 5. Factorise and expand algebraic expressions; 6. Use equations to express practical situations.
NZ Mathematics s 1-6 Objectives Addressed Age Objectives 1. Use data displays and measures to compare data associated with different categories. Exploring Probability 1. Determine the theoretical probabilities of the outcomes of an event such as the rolling of a die or drawing a card from a deck. Find the probability of a given sequence of events. 13-15 9-11 6 1. Interpret 2D representations of 3D shapes; 2. Explore and describe a locus formed in a practical situation. Describe the net effect of combining two or more transformations. 1. Form and interpret a graph; 2. Generate a pattern from a rule; 3. Interpret graphs of linear, quadratic and exponential functions. 1. Solve linear equations, simultaneous equations and simple quadratic equations; 2. Substitute values into formulae.