Heinemann VELS 7–10 Progression Points Textbooks and Worksheets Audit

VELS Standard or
Progression Point / Descriptors for Standard or Progression Point / Heinemann Maths Zone VELS Edition 7–10 Textbook and Worksheet references /
Number
Nu3.0 / At Level 3, students use place value (as the idea that ‘ten of these is one of those’) to determine the size and order of whole numbers to tens of thousands, and decimals to hundredths. They round numbers up and down to the nearest unit, ten, hundred, or thousand. They develop fraction notation and compare simple common fractions such as 3/4 > 2/3 using physical models. They skip count forwards and backwards, from various starting points using multiples of 2, 3, 4, 5, 10 and 100.
They estimate the results of computations and recognise whether these are likely to be over-estimates or under-estimates. They compute with numbers up to 30 using all four operations. They provide automatic recall of multiplication facts up to 10 × 10.
They devise and use written methods for:
·  whole number problems of addition and subtraction involving numbers up to 999
·  multiplication by single digits (using recall of multiplication tables) and multiples and powers of ten (for example, 5 × 100, 5 × 70)
·  division by a single-digit divisor (based on inverse relations in multiplication tables).
They devise and use algorithms for the addition and subtraction of numbers to two decimal places, including situations involving money. They add and subtract simple common fractions with the assistance of physical models. / MZ7 VELS Textbook:
Ex 1.1 Q 1–10
Ch 1 Laugh Zone
Ex 1.5 Q 1
Ch 1 Maths in Action Q 1, 2
Ch 3 Investigation p. 100 Q 1–5
MZ7 VELS Worksheets with explanations and questions:
R1.2; R1.3; R1.4; R1.5; R1.6; R1.7; R1.8; R1.9; R1.13;
R1.14; R2.4; R2.6; R2.7; R2.8; R3.1; R3.2; R4.1; R4.2;
R4.3; R4.4; R4.5; R4.8
C1.3; C1.4
MZ7 VELS Worksheets with questions only:
R1.1; R2.1; R2.2; R6.2; R6.3; R10.1
C1.1; C1.5
MZ8 VELS Worksheets with explanations and questions:
R1.2; R1.11; R1.19; R2.12; R3.1; R3.7; R5.7; R6.2
MZ8 VELS Worksheets with questions only:
R1.17
MZ9 VELS Worksheets with questions only:
R3.12
Nu3.25 1 / Use of large number multiples of ten to approximate common quantities; for example, 100 000 people in a major sports venue / MZ7 VELS Textbook:
Ex 1.5 Q 5
Ch 1 Investigation p. 28 Q 1–4
Nu3.25 2 / Representation of square numbers using a power of 2; for example, 9 = 32 / MZ7 VELS Textbook:
Ex 2.6 Q 1, 3
Nu3.25 3 / Use of ratios to describe relative sizes / MZ8 VELS Textbook:
Ex 5.1 Q 1–4
Nu3.25 4 / Appropriate selection and use of mental and written algorithms to add, subtract, multiply and divide (by single digits) natural numbers / MZ7 VELS Worksheets with explanations and questions:
R4.6; R4.7
MZ8 VELS Worksheets with explanations and questions:
R1.3; R1.4; R1.5; R1.6; R1.7
Nu3.25 5 / Multiplication of fractions by fractions through the use of the rectangle area model (grid)
Nu3.25 6 / Use of brackets to determine order of operations / MZ7 VELS Textbook:
Ex 1.6 Q 5
MZ7 VELS Worksheets with explanations and questions:
R1.15; R9.3
MZ8 VELS Worksheets with explanations and questions:
R1.9
Nu3.5 1 / Listing of objects and their size, where size varies from thousandths to thousands of a unit / MZ7 VELS Textbook:
Ex 4.1 Q 1–14
Ch 4 Problem solving p. 138 Q (a), (b)
MZ7 VELS Worksheets with explanations and questions:
R3.3
C4.1; C4.2
MZ8 VELS Worksheets with explanations and questions:
R1.1; R1.10; R1.12; R4.9
Nu3.5 2 / Addition, subtraction and multiplication of fractions and decimals (to one decimal place) using approximations such as whole number estimates and technology to confirm accuracy / MZ7 VELS Textbook:
Ex 3.1 Q 1–13
Ch 3 Investigation p. 100 Q 6–8
Ex 3.3 Q 1–4
MZ7 VELS Worksheets with explanations and questions:
R1.18; R3.4
C3.1; C3.2; C3.3; C3.4; C4.5
MZ8 VELS Worksheets with explanations and questions:
R5.2; R5.4; R5.5
MZ9 VELS Worksheets with explanations and questions:
R10.1; R10.2; R10.3
Nu3.5 3 / Representation of simple ratios as percentages, fractions and decimals / MZ8 VELS Textbook:
Ex 5.6 Q 1, 2
Nu3.5 4 / Identification of calculation errors resulting in unreasonable results / MZ7 VELS Textbook:
Ex 1.7 Q 7
Nu3.5 5 / Ordering of integers (for example, positive andnegative temperatures), positive fractions and decimals / MZ7 VELS Textbook:
Ex 3.2 Q 1–7
Ex 4.2 Q 1–13
MZ7 VELS Worksheets with explanations and questions:
R10.3
MZ8 VELS Textbook:
Ex 1.1 Q 1–8
Ch 1 Investigation p. 5 Q 1–5
Ex 1.2 Q 1–12
MZ8 VELS Worksheets with explanations and questions:
C1.1; C1.2; C1.3
Nu3.75 1 / Multiplication by increasing and decreasing by a factor of two; for example,
24 × 16
= 48 × 8
= 96 × 4
= 192 × 2
= 384 × 1
= 384 /
Nu3.75 2 / Recognition of equivalent rates expressed as percentages, fractions and decimals / MZ8 VELS Textbook:
VELS Assignment 2 Q 5
Ex 5.1 Q 1–9
Nu3.75 3 / Recognition that multiplication can either enlarge or reduce the magnitude of a number (multiplication by fractions or decimals) / MZ7 VELS Textbook:
Ex 3.5 Q 1
Nu3.75 4 / Use of inverse relationship between multiplication and division to validate calculations / MZ7 VELS Textbook:
Ex 3.6 Q 1
Nu3.75 5 / Creation of sets of multiples of numbers and their representation in index form; for example, 3, 9, 27 written as31, 32, 33 respectively / MZ7 VELS Textbook:
Ch 2 VELS Design Task Q 4–7
Ex 2.8 Q 11
Nu4.0 / At Level 4, students comprehend the size and order of small numbers (to thousandths) and large numbers (to millions). They model integers (positive and negative whole numbers and zero), common fractions and decimals. They place integers, decimals and common fractions on a number line. They create sets of number multiples to find the lowest common multiple of the numbers. They interpret numbers and their factors in terms of the area and dimensions of rectangular arrays (for example, the factors of 12 can be found by making rectangles of dimensions 1 × 12, 2 × 6, and 3 × 4).
Students identify square, prime and composite numbers. They create factor sets (for example, using factor trees) and identify the highest common factor of two or more numbers. They recognise and calculate simple powers of whole numbers (for example, 24 = 16).
Students use decimals, ratios and percentages to find equivalent representations of common fractions (for example, 3/4 = 9/12 = 0.75 = 75% = 3 : 4 = 6 : 8). They explain and use mental and written algorithms for the addition, subtraction, multiplication and division of natural numbers (positive whole numbers). They add, subtract, and multiply fractions and decimals (to two decimal places) and apply these operations in practical contexts, including the use of money. They use estimates for computations and apply criteria to determine whether or not estimates are reasonable. / MZ7 VELS Textbook:
VELS Assignment 1 Q 4
VELS Assignment 4 Q 1, 2, 4
Ex 1.2 Q 1–20
Ch 1 Investigation p. 15 Q (a)–(c)
Ex 1.3 Q 1–6
Ch 1 VELS Design Task Q 1–8
Ex 1.4 Q 1–6
Ex 1.6 Q 1–9
Ch 1 Problem solving p. 32
Ch 1 Investigation p. 33 Q (a)–(h)
Ex 1.7 Q 1–7
Ex 2.1 Q 1–15
Ch 2 Problem solving p. 58 Q 1, 2
Ex 2.3 Q 1–8
Ch 2 Investigation p. 62 Q 1–3
Ex 2.4 Q 1–14
Ch 2 Problem solving p. 64
Ch 2 Investigation p. 65 Q 1, 2
Ex 2.5 Q 1
Ch 2 Maths in Action Q 1–6
Ex 2.6 Q 1, 3, 8(a), 9, 10, 14
Ch 2 VELS Design Task Q 4, 8
Ch 2 Laugh Zone
Ex 3.2 Q 8–14
Ch 3 Problem solving p. 104 Q 1, 2
Ex 3.3 Q 5–9
Ch 3 VELS Design Task Q 1–5
Ch 3 Maths in Action Q 2–5
Ex 3.5 Q 1, 4, 6–8, 10
Ch 3 Problem solving p. 115
Ch 3 Investigation p. 118 Q 1–5
Ch 3 Laugh Zone
Ex 3.7 Q 1(a)–(c)
Ex 3.8 Q 1–3, 5, 6, 11–14
Ex 4.3 Q 1–12
Ex 4.5 Q 1–11
Ex 4.6 Q 1–15
Ch 4 Problem solving p. 153 Q 1
Ch 4 Laugh Zone
Ex 4.7 Q 1– 4
Ex 4.8 Q 1–15
Ex 4.9 Q 1–12
Ch 4 VELS Design Task Q 1, 5
Ex 4.10 Q 1–17
MZ7 VELS Worksheets with explanations and questions:
R1.11; R1.17; R2.3; R2.5; R2.9; R2.11; R3.5; R5.1;
R10.2; R10.5
C2.1; C2.2; C2.3; C2.4; C2.5; C3.5; C3.6; C3.8; C3.9;
C4.7
MZ7 VELS Worksheets with questions only:
C1.2; C1.7; C2.7; C4.6
MZ8 VELS Textbook:
VELS Assignment 1 Q 2–7
Ch 2 Maths in Action Q 1, 4
Ex 3.1 Q 1–9
Ex 5.2 Q 1–16
Ch 5 Investigation p. 197 Q 1
MZ8 VELS Worksheets with explanations and questions:
R1.14; R1.16; R1.18; R2.1; R2.2; R2.5; R2.6; R2.8;
R2.11; R2.15; R3.3; R3.4; R3.5; R3.6; R3.8; R3.9; R3.11;
R3.14; R4.2; R4.8; R5.3; R6.3; R10.6
C5.1
MZ8 VELS Worksheets with questions only:
R2.9
MZ9 VELS Textbook:
VELS Assignment 1 Q 2, 3, 4
MZ9 VELS Worksheets with explanations and questions:
R1.4; R2.1; R3.2; R3.3; R4.5; R4.8; R4.9
MZ10 VELS Worksheets with explanations and questions:
R3.4; R3.7; R3.8; R6.1; R10.1; R10.2
C10.7
VCE Worksheets:
ZGM R8.1
ZM1&2 R5.1; R5.2
Nu4.25 1 / Identification of square numbers up to, and including, 100 / MZ7 VELS Textbook:
Ex 2.6 Q 4
Ch 2 VELS Design Task Q 4, 8
Ch 2 Laugh Zone
MZ7 VELS Worksheets with explanations and questions:
C2.8; C2.9
MZ8 VELS Worksheets with explanations and questions:
C2.9
VCE Worksheets:
ZGM R1.1
Nu4.25 2 / Knowledge of decimal and percentage equivalents for
1/2, 1/4, 3/4, 1/3, 2/3 / MZ7 VELS Textbook:
Ch 4 Investigation p. 168 Q 1
Nu4.25 3 / Expression of single-digit decimals as fractions in simplest form and conversion between ratio, fraction, decimal and percentage forms / MZ7 VELS Textbook:
Ex 4.4 Q 1–10
Ch 4 Investigation p. 168 Q 2–8
MZ7 VELS Worksheets with explanations and questions:
R1.16
C4.3; C4.4
MZ8 VELS Textbook:
VELS Assignment 2 Q 5
VELS Assignment 4 Q 1–4
Ex 2.1 Q 1, 2, 8
Ex 2.3 Q 1, 4, 6
Ex 3.2 Q 1–15
Ex 3.3 Q 1–7
Ex 3.4 Q 1–11
Ex 3.5 Q 1–6
Ch 3 Laugh Zone
Ch 5 Problem solving p. 211
MZ8 VELS Worksheets with explanations and questions:
R2.3; R2.4; R3.2
C2.1; C2.2; C2.3; C3.1; C3.2; C3.3; C3.4
MZ8 VELS Worksheets with questions only:
C3.5
MZ9 VELS Textbook:
Ex 1.1 Q 3, 4, 13
MZ9 VELS Worksheets with explanations and questions:
R1.1; R1.2; R1.8; R1.14; R2.9; R5.5; R10.4; R10.5
MZ9 VELS Worksheets with questions only:
C8.8; C8.9; C8.10; C8.11
VCE Worksheets:
ZGM R1.1; R1.4; R4.5; R13.1
ZFM R9.3
Nu4.25 4 / Use of index notation to represent repeated multiplication / MZ7 VELS Textbook:
Ex 2.8 Q 1–7, 11
MZ7 VELS Worksheets with explanations and questions:
C2.9
MZ7 VELS Worksheets with questions only:
C2.11
MZ8 VELS Textbook:
Ex 2.7 Q 1, 2, 4–6
MZ8 VELS Worksheets with explanations and questions:
R4.6
Nu4.25 5 / Division of fractions using multiplication by the inverse / MZ7 VELS Textbook:
Ex 3.6 Q 1–4, 7, 9, 11
Ch 3 Laugh Zone
Ex 3.7 Q 1(d)–(f)
Ex 3.8 Q 7
MZ7 VELS Worksheets with explanations and questions:
C3.10; C3.11
MZ8 VELS Textbook:
VELS Assignment 1 Q 2–7
MZ10 VELS Worksheets with explanations and questions:
R3.9
Nu4.5 1 / Representation of collections of objects in base 2 notation / MZ7 VELS Textbook:
Ex 2.7 Q 1–8
Nu4.5 2 / Location of the square roots from √(1) to √(100) by their approximate position on the real number line / MZ7 VELS Textbook:
Ex 2.6 Q 6, 11
MZ9 VELS Worksheets with explanations and questions:
R1.3
Nu4.5 3 / Construction of factor trees for the expression of numbers in terms of powers of prime factors / MZ7 VELS Textbook:
Ex 2.5 Q 2–8
MZ7 VELS Worksheets with questions only:
C2.6
MZ8 VELS Textbook:
Ex 2.7 Q 9
MZ8 VELS Worksheets with explanations and questions:
R3.12
MZ8 VELS Worksheets with questions only:
R2.7; R4.5
MZ9 VELS Textbook:
Ex 1.3 Q 5
MZ9 VELS Worksheets with questions only:
R1.11
Nu4.5 4 / Use of calculations involving operations with mixed numbers / MZ7 VELS Textbook:
Ex 3.4 Q 1–8
Ex 3.5 Q 2, 3, 5, 9
Ex 3.6 Q 5, 6, 8, 10
Ch 3 Laugh Zone
Ex 3.7 Q 1(g)–(l), 2–7
Ex 3.8 Q 4, 8–10
MZ7 VELS Worksheets with questions only:
C3.7; C3.12
MZ9 VELS Textbook:
Ex 1.5 Q 1–6, 13–15, 17
Ch 1 Maths in Action Q 1–3
Ch 1 VELS Design Task Q 1–3
MZ9 VELS Worksheets with explanations and questions:
R1.15
VCE Worksheets:
ZGM R12.4
Nu4.5 5 / Knowledge of the first several digits of decimal approximations to pi, π / MZ8 VELS Textbook:
Ch 6 Investigation p. 238
Nu4.75 1 / Addition, multiplication and division of integers / MZ7 VELS Textbook:
Ex 4.11 Q 1–12
Ex 4.12 Q 1–12
Ch 4 Maths in Action Q 2–4
MZ7 VELS Worksheets with explanations and questions:
C4.8
MZ7 VELS Worksheets with questions only:
C4.9
MZ8 VELS Textbook:
VELS Assignment 1 Q 2–7
Ex 1.3 Q 1–10
Ex 1.5 Q 1–10
Ch 1 VELS Design Task Q 1–8
Ch 1 Problem solving p. 20
Ex 1.6 Q 1–10
Ex 1.7 Q 1–11
Ex 1.8 Q 1–13
Ch 1 Laugh Zone
Ch 1 Maths in Action Q 1–4
Ex 2.1 Q 3–7, 9
Ch 2 Investigation p. 44 Q 1–8
Ex 2.3 Q 5, 7–20
Ch 2 Maths in Action Q 2, 3
MZ8 VELS Worksheets with explanations and questions:
C1.4; C1.6; C1.8; C1.10; C1.11
MZ8 VELS Worksheets with questions only:
C1.9; C1.12
MZ9 VELS Textbook:
Ex 1.1 Q 1, 2, 5, 6
MZ9 VELS Worksheets with explanations and questions: