# MATHS LEVEL DESCRIPTORS

Size: px
Start display at page:

Transcription

1 MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to Round numbers to the nearest 10 or 100. Understand the number line below zero, and relate this to temperature. Know the 2,3,4,5, and 10 times tables and the related division facts. Divide numbers by 2,3,4,5 and 10 which give a remainder. Recognise one half and one quarter of a diagram or number. Write amounts of money in using a decimal point and understand the value of each digit. Use a calculator to solve simple problems involving money and real-life situations. Level 5 Read and write whole numbers in figures and in words and kn9ow what each digit represents, up to 1 million. Understand decimal notation for tenths and hundredths. Order numbers less than 1 million and numbers with the same number of decimal places. Round integers to the nearest 10, 100 or 1000 and numbers with 1 or 2 decimal places to the nearest integer. Know the multiplication tables to 10 x 10 and the related division facts. Multiply and divide whole numbers by 10 and 100. Begin to use brackets in calculations. Use fraction notation, including mixed numbers, and vocabulary numerator and denominator. Order a set of fractions and position them on a number line. Change an improper fraction to a mixed number and recognize simple equivalent fractions, including tenths and hundredths. Add and subtract simple fractions and those with the same denominator. Find one tenth and one hundredth of numbers and quantities. Begin to understand % as the number of parts in every 100. Add and subtract integers and decimals with the same number of decimal places. Extend written methods to TU x TU and HTU divided by U. Understand decimal notation for tenths, hundredths and thousandths. Order numbers and measurements with up to 3 decimal places. Round a number with two decimal places to the nearest tenth or whole number. Round up or down after division depending on the context. Order, add and subtract negative numbers. Multiply whole numbers and decimals by 10, 100 and Use brackets in calculations. Order fractions by converting them to a common denominator and position them on a number line. Change an improper fraction to a mixed number and vice-versa. Reduce a fraction to its simplest form. Calculate fractional or percentage parts of quantities and measurements, using a calculator where appropriate. Use decimal notation for tenths, hundredths and thousandths. Multiply and divide a three-digit number by a two-digit number without using a calculator. Add, subtract, multiply and divide decimal numbers with up to two decimal places. Solve simple problems involving ratio and direct proportion. Round numbers to any power of 10 and to two decimal places. Multiply and divide by powers of 10. Compare numbers and evaluate one number as a fraction or percentage of another. Add and subtract fractions and different denominators. Divide a fraction by an integer. Order and approximate decimals when solving problems. Calculate percentage increase and decrease. Understand and be able to use the equivalences between fractions, decimals and percentages. Multiply integers and decimals and understand where to position the decimal point. Use ratios in appropriate situation. Round numbers to one significant figure and multiply and divide mentally. Understand the affects of multiplying by a number between 0 and 1. Multiply and divide decimals by writing as equivalent problems involving integers. Use percentages to solve problems. Solve numerical problems involving multiplication and division with numbers of any size. Understand and use proportional changes. Use a calculator efficiently and appropriately. Use powers or roots, with numbers expressed in standard form, to solve problems, checking that the answers are of the correct order of magnitude. Choose fractions or percentages to solve problems involving repeated proportional changes or the calculation of the original quantity given the result of a proportional change. Evaluate algebraic formulae, substituting fractions, decimals and negative numbers. Calculate one variable, given the others in a formulae.

2 Shape, Space and Measures Level 3 Level 5 Know the names of some 2D polygons, a circle, some 3D solids and a sphere. Know how many edges, faces and vertices (corners) there are on a cube. Recognise reflective (line) symmetry in simple pictures. Recognise and describe simple translations and rotations of shapes. Recognise the 4 compass directions, right angles and clockwise and anticlockwise turns. Read scales where divisions are 1,2,5,10, 100 or one half. Draw and measure lines in whole cm accurately. Know commonly used units for money, time, length, mass and capacity. Classify triangles. Identify and recognize the properties of rectangles. Recognise a 3D shape from a 2D drawing and identify linking edges and vertices. Identify nets of a cube. Recognise reflective (line) symmetry, especially in regular polygons. Reflect shapes in a mirror line parallel to one side. Make patters from rotating shapes. Recognise where a shape will be after a translation. Find the perimeter of simple shapes, areas by counting squares and volumes by counting cubes. Use the formula in words for the area of a rectangle. Recognise directions and parallel perpendicular lines. Identify and estimate acute and obtuse angles. Understand degrees and measure acute and obtuse angles to the nearest five degrees. Calculate missing angles on a straight line. Choose appropriate measuring instruments and units and measure accurately from a variety of scales. Convert larger to smaller units of length, mass and capacity. Read the time on a 24 hour digital clock. Classify quadrilaterals. Draw 3D shapes on an isometric grid. Draw nets for 3D shapes. Construct triangles from given information. Recognise reflective and rotational symmetry in 2D shapes. Recognise where a shape will be after reflection in a line not parallel to a side, or in two mirrors at right angles to each other. Recognise where a shape will be after a 90 degree rotation about a vertex (corner). Calculate the perimeter of rectangles and simple compound shapes. Understand and be able to use the formula for the area of a rectangle. Calculate the area of a shape formed from rectangles. Calculate the volume of a cuboid. Measure acute and obtuse angles to the nearest degree and know the language associated with angle. Calculate missing angles in a triangle and around a point. Make a sensible estimate of a range of measures in relation to everyday situations. Convert between metric units of length, mass and capacity. Know the rough metric equivalents of imperial units in common use. Know the properties of quadrilaterals and be able to recognize quadrilaterals from their properties. Recognise common 2D representations of 3D objects. Draw constructions using a ruler and pair of compasses. (Eg. Mid-point and perpendicular bisector of a straight line and the bisector of an angle). Draw plans and elevations. Enlarge 2D shapes by a positive whole-number scale factor. Transform 2D shapes by a combination of reflection, rotations or translations. Use angle and symmetry properties of polygons and properties of intersecting and parallel lines to solve problems. Calculate the area of a triangle, parallelogram and trapezium using appropriate formulae. Calculate the surface area of cuboids. Understand and use the formulae for finding the circumference and area of circles. Calculate three-figure bearings. Recognise planes of symmetry in 3D shapes. Find the scale factor that produces an enlargement that is smaller than the original shape. Enlarge a shape by a scale factor between 0 and 1 or by a negative scale factor. Calculate lengths, areas and volumes in plane shapes. Calculate the surface area and volume of a prism. Understand and be able to apply Pythagoras theorem when solving problems in two dimensions. Determine the locus of an object moving according to some rule. Know that measurements is continuous and that measures given to the nearest whole number can be in error by up to one half a unit. Use compound measures such as speed. Understand congruence. Understand and use mathematical similarity. Distinguish between formulae for perimeter, area and volume by considering dimensions. Use sine, cosine and tangent in right-angled triangles when solving problems in two dimensions.

3 Handling Data Level 3 Interpret simple bar charts and pictographs. Read information from a Venn diagram and a Carroll diagram. Carry out a survey and collect data in a tally chart. Present and interpret data on a bar chart, bar line graph and line graph. Construct simple line graphs. Group data and represent this in a frequency diagram. Collect discrete data and record it in a table. Find the mode of a set of data. Use the mode and median of a set of data. Know what the range of a set of data is. Understand the use simple words associated with probability, such as fair, certain and likely. Level 5 Interpret graphs and diagrams, including pie charts. Present and interpret grouped discrete data on a bar chart. Find the mean, median, mode and range of a set of data. Use the range and one of the averages to compare two sets of data. Understand and be able to use the probability scale from 0 to 1. Know the different outcomes may result from repeating the same experiment. Find and justify probabilities using either experimental evidence or theoretical probabilities. Construct pie charts. Draw scatter diagrams and understand correlation. Collect and record continuous data, choosing appropriate class intervals, and create frequency diagrams. Calculate the mean for a set of data using an assumed mean. When dealing with two experiments, identify all the outcomes and show them in diagrammatic or tabular form. Know that the total probability of all the mutually exclusive events of an experiment is 1 and use this to solve problems. Draw a line of best fit on a scatter diagram by eye. Specify a hypothesis and test it by designing an appropriate survey sheet or experiment that takes bias into account. Select the most6 appropriate statistic for your line of enquiry. Find the model class and estimate the mean, median and range of sets of grouped data. Compare two distributions using the measures of average and range and draw the associated polygons. Understand relative frequency as an estimate of probability and use it to compare the outcomes of experiments. Interpret and construct cumulative frequency tables and diagrams, using the upper boundary of the class interval. Be able to estimate the median and inter-quartile range and use these to compare distributions and make inferences. Understand when to apply the methods for calculating the probability of a compound event, given the probabilities of either independent events or mutually exclusive events and solve problems using these methods.

4 Algebra Level 3 Recognise patterns of numbers, eg. 14, 24, 34, 44. Recognise odd and even numbers. Explore and describe number patterns. Recognise multiples, factors and square numbers. Know and apply tests of divisibility for dividing by 2, 4, 5, 10 and 100. Use co-ordinates in the first quadrant. Solve simple equations involving one stage. Use simple formulae expressed in words. Level 5 Recognise prime numbers to at least 20 and find common multiples. Factorise numbers to 100 into prime numbers. Know and apply tests of divisibility for dividing by 2, 3, 4, 5, 6, 8, 9, 10 and 100. Read and plot co-ordinates in all four quadrants. Generate co-ordinates from a simple linear rule and plot the graphs of simple functions, where y is given in terms of x. Simplify expressions and expand brackets. Solve simple equations involving two stages. Use mathematical symbols to write down a formula or rule. Check your answers by working backwards and by approximating. Find the LCM and HCF of two or more numbers. Find the prime factor decomposition of any number. Give a rule for the term of a number pattern where the pattern increases by a fixed amount each term. Express a mapping algebraically and interpret the general features of linear graphs. Sketch graphs of real-life situations. Expand and simplify brackets with variables on the outside. Substitute into formulae involving squares and square roots, or more than one variable. Solve equations where the solution is not a whole number or where the variable is on both sides. Set up and solve linear equations, and use algebra in problems. Use prime factors to find the LCM and HCF of two numbers. Use the rules of indices for powers. Find the inverse of a function. Be able to give a rule for the next term or the term of a number pattern where the rule is quadratic. Represent average speed on a distance-time graph. Expand an expression such as (x 2) (x3) abd factorise simple expressions. Use a calculator to estimate square roots and cube roots and to solve equations by trial and improvement. Solve simple inequalities and linear equations with negative signs anywhere in the equation. Solve simult6aneous equations algebraically and graphically. Sketch and interpret graphs of linear, quadratic, cubic and reciprocal functions, and graphs that model real situations. Manipulate algebraic formulae, equations and expressions, finding common factors and multiplying twp linear expressions. Solve inequalities in two variables. Know that a squared subtract b squared equals (a+b) (a-b).

5 MATHEMATICS NATIONAL CURRICULUM LEVELS Number Algebra Shape, Space and Measures Handling Data

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### Key Topics What will ALL students learn? What will the most able students learn?

2013 2014 Scheme of Work Subject MATHS Year 9 Course/ Year Term 1 Key Topics What will ALL students learn? What will the most able students learn? Number Written methods of calculations Decimals Rounding

### Curriculum Overview YR 9 MATHS. SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures

Curriculum Overview YR 9 MATHS AUTUMN Thursday 28th August- Friday 19th December SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures Rounding Rounding Upper and lower

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### FOREWORD. Executive Secretary

FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National

### Section 1: How will you be tested? This section will give you information about the different types of examination papers that are available.

REVISION CHECKLIST for IGCSE Mathematics 0580 A guide for students How to use this guide This guide describes what topics and skills you need to know for your IGCSE Mathematics examination. It will help

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Mathematics. Programme of study for key stage 3 and attainment targets (This is an extract from The National Curriculum 2007)

Mathematics Programme of study for key stage 3 and attainment targets (This is an extract from The National Curriculum 2007) Crown copyright 2007 Qualifications and Curriculum Authority 2007 Curriculum

### Standards and progression point examples

Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### My Year 1 Maths Targets

My Year 1 Maths Targets Number number and place value I can count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. I can count in multiples of twos, fives and

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### MINISTRY OF EDUCATION

Republic of Namibia MINISTRY OF EDUCATION NAMIBIA SENIOR SECONDARY CERTIFICATE (NSSC) MATHEMATICS SYLLABUS ORDINARY LEVEL SYLLABUS CODE: 4324 GRADES 11-12 FOR IMPLEMENTATION IN 2006 FOR FIRST EXAMINATION

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Mathematics. GCSE subject content and assessment objectives

Mathematics GCSE subject content and assessment objectives June 2013 Contents Introduction 3 Subject content 4 Assessment objectives 11 Appendix: Mathematical formulae 12 2 Introduction GCSE subject criteria

### Mathematics standards

Mathematics standards Grade 6 Summary of students performance by the end of Grade 6 Reasoning and problem solving Students represent and interpret routine and non-routine mathematical problems in a range

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### For examination in June and November 2016. Also available for examination in March 2016 for India only.

SYLLABUS Cambridge IGCSE Mathematics 0580 For examination in June and November 2016. Also available for examination in March 2016 for India only. This syllabus is approved for use in England, Wales and

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### numerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals

Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

### Mathematics K 6 continuum of key ideas

Mathematics K 6 continuum of key ideas Number and Algebra Count forwards to 30 from a given number Count backwards from a given number in the range 0 to 20 Compare, order, read and represent to at least

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

### Key Stage 2 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### The National Curriculum 2014 Programmes of Study for Mathematics

The National Curriculum 2014 Programmes of Study for Mathematics Information inserted by the Lancashire Mathematics Team to support schools and teachers in identifying elements of the curriculum that have

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### Key Stage 3 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical across the curriculum in a ariety of contexts and eeryday situations select, trial

### Math 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.

Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop

### 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count

### Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

### Senior Phase Grade 8 Today Planning Pack MATHEMATICS

M780636110236 Senior Phase Grade 8 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 8 2 Lesson Plans: Grade 8 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers...22

Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

A Year 5 Mathematician Planning of coverage and resources. Autumn - 12 Weeks Spring 11 Weeks Summer 12 Weeks TARGETS NHM YR 5 Collins 5 Abacus 5 Abacus 6 LA Prior Step NHM 4 CPM 4 Ginn 4 Number, place

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Specification September 2007. The right formula for success. GCSE Maths GCSE

Specification September 2007 GCSE Maths The right formula for success GCSE Edexcel GCSE in Mathematics (Linear) (1380) First examination June 2009 First certification June 2009 Edexcel, a Pearson company,

### Vocabulary checklist. Year 7. Applying mathematics and solving problems. Numbers and the number system

Vocabulary checklist Year 7 This list contains the key words used in the Year 7 teaching programme and supplement of examples. Some words will be familiar to pupils in Year 7 from earlier work. For definitions

### Manitoba Curriculum. Alignment with Mathletics. Supported by independent evidence-based research and practice. Powerful reporting.

Supported by independent evidence-based research practice. Follows provincial curricula Powerful reporting Student centred Content Kindergarten Grade 1 Grade 2 02 04 08 Grade 10 Applied & Pre-Calculus

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### Cambridge Primary Mathematics Curriculum Framework (with codes)

Cambridge Primary Mathematics Curriculum Framework (with codes) Contents Introduction Stage 1...1 Stage 2...5 Stage 3...9 Stage 4...14 Stage 5...18 Stage 6...24 Note on codes Each learning objective has

### Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction

Busy Ant Maths Year Medium-Term Plans Unit 9 Geometry - Position & direction Unit 0 ( Temperature) Unit Statistics Unit Fractions (time) 8 Busy Ant Maths Year Medium-Term Plans Introduction Unit Geometry

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

### Secondary Mathematics Syllabuses

Secondary Mathematics Syllabuses Copyright 006 Curriculum Planning and Development Division. This publication is not for sale. All rights reserved. No part of this publication may be reproduced without

### NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

### Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,

### SYLLABUS. Cambridge IGCSE Mathematics Cambridge International Certificate* For examination in June and November 2014

SYLLABUS Cambridge IGCSE Mathematics Cambridge International Certificate* 0580 For examination in June and November 2014 Cambridge IGCSE Mathematics (with Coursework) 0581 For examination in June and November

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

### GRADES 7, 8, AND 9 BIG IDEAS

Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for

### Grade 5 Math Content 1

Grade 5 Math Content 1 Number and Operations: Whole Numbers Multiplication and Division In Grade 5, students consolidate their understanding of the computational strategies they use for multiplication.

### KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

### Indiana State Core Curriculum Standards updated 2009 Algebra I

Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and

### Mathematics programmes of study: key stage 4. National curriculum in England

Mathematics programmes of study: key stage 4 National curriculum in England July 2014 Contents Purpose of study 3 Aims 3 Information and communication technology (ICT) 4 Spoken language 4 Working mathematically

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

### Paper 2 Revision. (compiled in light of the contents of paper1) Higher Tier Edexcel

Paper 2 Revision (compiled in light of the contents of paper1) Higher Tier Edexcel 1 Topic Areas 1. Data Handling 2. Number 3. Shape, Space and Measure 4. Algebra 2 Data Handling Averages Two-way table

### Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School

Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### National curriculum tests. Key stage 2. Mathematics test framework. National curriculum tests from 2016. For test developers

National curriculum tests Key stage 2 Mathematics test framework National curriculum tests from 2016 For test developers Crown copyright 2015 2016 key stage 2 mathematics test framework: national curriculum

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Parallel and Perpendicular. We show a small box in one of the angles to show that the lines are perpendicular.

CONDENSED L E S S O N. Parallel and Perpendicular In this lesson you will learn the meaning of parallel and perpendicular discover how the slopes of parallel and perpendicular lines are related use slopes

### Questions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?

Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number

### Algebra 1 Course Information

Course Information Course Description: Students will study patterns, relations, and functions, and focus on the use of mathematical models to understand and analyze quantitative relationships. Through

### Grade 6 Mathematics Performance Level Descriptors

Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### Medium term Plans for Spring Year 5

Medium term Plans for Spring Year 5 Help these children be in a better position to achieve good results in the Y6 Sats in 2015. Although these tests will officially be based on the old curriculum, it is

### How To Learn To Understand And Understand The Math Of The Year

Year R Maths Objectives In order to meet the Early Learning Goals at the end of Year R children must be able to: Numbers Count reliably with numbers from -0, place them in order and say which number is

### National 5 Mathematics Course Assessment Specification (C747 75)

National 5 Mathematics Course Assessment Specification (C747 75) Valid from August 013 First edition: April 01 Revised: June 013, version 1.1 This specification may be reproduced in whole or in part for

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course