# Math syllabus Kindergarten 1

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1 Math syllabus Kindergarten 1 Number strand: Count forward and backwards to 10 Identify numbers to 10 on a number line Use ordinal numbers first (1 st ) to fifth (5 th ) correctly Recognize and play with money Pattern strand: Identify basic repeating patterns with one attribute Shape and space strand: Identify shapes in the environment Identify common 2- dimensional shapes Describe locations of objects or people using basic positional language Measurement strand: Relate events to morning, afternoon, evening and night Data handling strand: Organize objects into categories by sorting and classifying

2 Kindergarten 2 Number strand: Identify numbers to 20 on a number line Recognize and match number names to 10 Investigate, through play, how something can be divided into parts Use ordinal numbers to twentieth (20 th ) correctly Understand that money varies in value Play with money to understand that sometimes we need change back Pattern strand: Identify, describe, create and extend basic repeating patterns with one attribute Shape and space strand: Identify shapes in the environment Describe and sort 2- dimensional shapes Compose patterns, pictures and designs, using common 2- dimensional shapes Describe similarities and differences between everyday objects and 3- dimensional figures Identify the 2- dimensional faces of 3- dimensional figures, using concrete models Describe locations of objects or people using positional language

3 Measurement strand: Compare and order 2 to 3 everyday objects using the vocabulary of large, heavy, short, wide, high, early, and the comparatives and superlatives Describe their daily routine Relate temperature to experiences of the seasons Data handling strand: Gather data, as an entire class, to answer a question, using a simple survey with a limited number of responses Collect and organize data using graphs and concrete materials Organize objects into categories and describe informal sorting experiences Answer questions about collected data Describe the likelihood that everyday events will occur

4 Grade 1 Number strand: Count forward by 1 s, 2 s, 5 s, and 10 s to 100, using various tools and strategies Count backwards from 20 by 2 s and 5 s Locate whole numbers to 50 on a number line Order whole numbers to 50 Read and write numbers, in words, to 20 Identify and represent the value of a digit in a number (up to 50) according to its position in the number Round to the nearest 5 or 10 Add and subtract one- digit numbers using concrete materials Mentally solve single digit addition and subtraction Solve word problems up to the value of 10 Recognize simple fractions - 1/2, 1/4 and whole Use ordinal numbers to fiftieth Identify and describe various euro coins, and state their value Show different ways of making 1 Add and subtract money amounts to 50 Pattern strand: Identify, describe, create and extend repeating patterns involving two attributes Identify and extend numeric repeating patterns using materials Determine, using a balance model and whole numbers to 10, the number of identical objects that must be added or subtracted to establish equality

5 Shape and space strand: Identify, describe, sort and classify common 2- dimensional shapes by their attributes Identify and describe shapes within other shapes Locate shapes in the environment that have symmetry, and describe the symmetry. Create and describe symmetrical designs Make connections between 3- dimensional figures and everyday objects Identify the various 2- dimensional shapes in 3- dimensional forms Identify, describe, sort and classify common 3- dimensional figures by their attributes Build 3- dimensional structures using concrete materials Describe the location of an object Describe the locations of objects on self- made maps Measurement strand: Use the metre as a benchmark for measuring length, and compare the metre with non- standard units Estimate, measure, and record lengths, heights, and distances Describe, using concrete materials, the relationship between the size of a unit and the number of units needed to measure length Measure and describe area using non- standard units Estimate, measure, and describe the capacity and/or mass of an object, using non- standard units Compare and order objects by their measurements, using the same non- standard unit Estimate, measure, and describe the passage of time, using nonstandard units Read digital and analogue clocks, and use them to tell and write time to the hour and half- hour in everyday settings Name the months of the year in order, and read the date on a calendar Describe how changes in temperature, using degrees, affect everyday experiences

6 Data handling strand: Collect information and organize into different types of graphs Organize objects into two different categories Read and comprehend a variety of graphs Ask and answer questions about collected information Describe the likelihood that everyday events will occur

7 Grade 2 Number strand: Count forward by 1 s, 2 s, 5 s, 10 s, and 25 s to 200 Count backwards by 1 s from 50, and count backwards by 10 s from 100 Order whole numbers to 100 Read and write numbers, in words, to 50 Locate whole numbers to 100 on a number line Round to the nearest 10 in two- digit numbers Identify and represent the value of a digit in a number (up to 100) according to its position in the number Add and subtract two- digit numbers, using concrete materials Use concrete materials to show division of two- digit numbers Mentally solve whole number addition and subtraction problems to 20 Mentally multiply whole numbers by 10 Solve word problems up to the value of 100 Understand simple fractions - 1/2, 1/3, 1/4, 1/8, and whole Understand equivalent fractions, using real objects Write ordinal numbers and words Convert money, up to 5, between coins and notes Add and subtract money amounts to 1 Show different ways of making 5

8 Pattern strand: Create a pattern results from repeating an operation Identify, describe, and create patterns involving addition and subtraction, with1 s, 2 s, 5 s, 10 s, and using materials Demonstrate an understanding of the concept of equality by partitioning whole numbers to 20 in a variety of ways, using concrete materials Determine the missing number in equations involving addition and subtraction to 20, using various tools and strategies Identify and use the commutative property of addition Identify the properties of zero in addition and subtraction Shape and space strand: Use 2- dimensional shapes to make other 2- dimensional shapes Locate the line of symmetry in a 2- dimensional shape Create and describe symmetrical designs using a variety of tools Identify, describe, sort, and classify various 2- dimensional shapes by their geometric properties Build 3- dimensional forms using various materials, and describe their characteristics Identify, describe, sort, and classify various 3- dimensional figures by their geometric properties Describe 3- dimensional figures and everyday objects using mathematical language Build a structure using 3- dimensional figures and describe the 2- dimensional & 3- dimensional shapes used Draw simple maps of familiar settings, and describe the relative locations of objects on the maps Describe the location of an object and give directions to find it

9 Measurement strand: Choose personal referents for a centimetre and a metre to help perform measurement tasks Investigate, estimate, measure and record length, height, and distance, using standard and non- standard units Estimate, measure, and record capacity, area and perimeter, using non- standard units Describe the relationship between the size of a unit of area and the number of units needed to cover a surface Compare and order a collection of objects by mass and/or capacity, using non- standard units Construct tools for measuring time intervals in non- standard units Tell and write time to the quarter- hour Determine the relationship between days and weeks and between months and years Use a standard thermometer to determine whether temperature is rising or falling Describe how changes in temperature, using degrees, affect everyday experiences Data handling strand: Conduct simple surveys Collect information and organise into different types of graphs, labeling the axes Organise objects into two or more separate categories Read, comprehend, and compare a variety of graphs Ask and answer questions about collected information represented in graphs Describe the probability that an event will occur, through investigation and experiments

10 Grade 3 Number strand: Count forward by 1 s, 2 s, 5 s, 10 s, and 100 s to 1000 from various starting points, and by 25 s to 1000, using various tools and strategies Count backwards by 2 s, 5 s, and 10 s from 100 Read and write, in words, whole numbers to 100 Recognize relationships between numbers up to 1000 Locate whole numbers to 1,000 on a number line Understand the value of a digit in a number according to its position in the number Represent, estimate and order whole numbers up to 1000 Round three- digit numbers to the nearest 10 and 100 Add and subtract three- digit numbers, using concrete materials Multiply 1- digit numbers, using a variety of tools Divide objects into equal parts, and identify the parts Solve problems involving the addition and subtraction of two- digit numbers, using various strategies Multiply whole numbers by 10 and 100 and divide whole numbers by 10, using various strategies Recognise the relationship between fractions, using concrete materials and drawings Compare fractions with same numerators Represent and describe the relationships between coins and bills up to 10 Estimate, count, and write amounts of money to 10 Add and subtract money amounts to 5, using a variety of tools Pattern strand: Identify, extend, and create a pattern involving two attributes, using a variety of tools Explain that a pattern results from repeating an action Create a number pattern involving addition or subtraction Identify and use the associative property of addition Identify the properties of zero and one in multiplication

11 Shape and space strand: Solve problems involving 2- dimensional shapes Explain the relationships between different types of quadrilaterals Identify congruent 2- dimensional shapes by matching concrete materials Complete and describe designs and pictures that have a vertical, horizontal, or diagonal line of symmetry Identify flips, slides, and turns Identify and compare various 2- dimensional shapes and sort them by their geometric properties Compare and sort prisms and pyramids by geometric properties Identify and describe the 2- dimensional shapes that can be found in a 3- dimensional figure Construct rectangular prisms and describe geometric properties of the prisms Describe and name prisms and pyramids by the shape of their base Compare various angles, and describe angles as bigger than, smaller than, or about the same as other angles Describe movement from one location to another using a grid map

12 Measurement strand: Use the most appropriate standard unit for length, mass and capacity Compare and order units of length, mass and/or capacity Estimate, measure, and record length, height, and distance, using standard units Estimate, measure, compare and record the perimeter and area of 2- dimensional shapes Estimate, measure, and record the mass of objects, using standard units Estimate, measure, and record the capacity of containers, using standard units Estimate, measure, and represent time intervals to the nearest hour Read time using analogue clocks, to the nearest five minutes, and using digital clocks, and represent time in 12- hour notation Solve problems involving time, using a variety of tools Estimate, read, and record positive temperatures to the nearest degree Celsius Data handling strand: Collect data by conducting a survey or an experiment, and record observations or measurements Collect and organize data and display the data in charts, tables, and graphs, with appropriate titles and labels Organize objects into categories, using two or more attributes simultaneously, using multiple diagrams Read data presented in charts, tables, and graphs, then describe the data Interpret and draw conclusions from data presented in charts, tables, and graphs Identify the mode in a set of data Create a fair game and relate this to the occurrence of equally likely outcomes Predict the frequency of an outcome in a simple probability experiment or game, then perform the experiment, and compare the results with the predictions

13 Grade 4 Number strand: Count forwards and backwards with fractions Read and write, in words, whole numbers to 1000 Order whole numbers and decimal numbers from 0.1 to Determine place value of whole numbers and decimal numbers from 0.1 to Locate whole numbers to 10,000 on a number line Round and estimate 4- digit numbers to the nearest tenth, ten, hundred, and thousand Add and subtract 4- digit numbers to tenths Multiply and divide whole numbers by 10, 100, and 1000 Multiply 1- digit by 2- digit numbers, 1 digit by 3- digit numbers and 2- digit by 2- digit numbers Divide 2- digit by 1- digit numbers, with or without a remainder Know the times tables to 10 Convert fractions to decimals, to one place behind the decimal Recognise equivalent fractions Represent and describe the relationships between coins and bills up to 100 Pattern strand: Make predictions related to repeating geometric and numeric patterns Extend repeating number patterns Identify and use the commutative property of multiplication Determine, through investigation, the inverse relationship between multiplication and division

14 Shape and space strand: Identify and compare different quadrilaterals, and sort and classify them by their geometric properties Identify and describe prisms and pyramids, and classify them by their geometric properties, using concrete materials. Construct a 3- dimensional figure from a picture or model of the figure, using connecting cubes Identify and describe nets of rectangular and triangular prisms Identify right angles, using a reference tool, and compare other angles to these Identify and describe the location of an object using a grid system Measurement strand: Choose appropriate standard unit to measure things Estimate, measure, record and compare length, height, and distance, using standard units Work out the perimeter of regular shapes Determine the relationship between the side lengths of a rectangle and its perimeter and area Estimate and measure the mass of objects Estimate and measure volume using displacement Determine the relationship between millilitres and litres Read time using analogue and digital clocks, to the nearest one minute Estimate and read negative temperatures to the nearest degree Celsius Measure and record temperatures to determine and represent temperature changes over time

15 Data handling strand: Collect data by conducting a multiple question survey and display data in charts, tables, and graphs Read, interpret, and draw conclusions from data Describe the shape of a set of data across its range of values, using charts, tables, and graphs Predict the frequency of an outcome in a simple probability experiment, conduct the experiment and compare the result with the prediction

16 Grade 5 Number strand: Count forwards by 2 s, 5 s, and 10 s from 100 and count backwards by 100 s from 1000 Read and write, in words, whole numbers to 10,000 Order whole, negative and decimal numbers Order fractions and percentages Locate whole numbers to 100,000 on a number line Determine place value of whole numbers and decimal numbers from 0.01 to Round and estimate 6- digit numbers decimal numbers up to the nearest hundredth, hundred thousand Add and subtract 6- digit numbers to hundredths Add and subtract fractions Multiply whole and decimal numbers Divide whole and decimal numbers Know the times tables up to 12 Recognise equivalent fractions Simplify fractions Convert fractions to decimals to percentages Represent and describe the relationships between coins and bills up to 1000 Calculate percentage discounts Pattern strand: Create, identify, and extend numeric and geometric patterns, using a variety of tools Make a table of values for a pattern that is generated mathematically, given either the sequence or the pattern rule in words Extend and create repeating patterns that result from translations, through investigation, using various tools

17 Shape and space strand: Identify triangles, and classify them according to angle and side properties Distinguish among 2- dimensional shapes, regular shapes and irregular shapes Distinguish among prisms, right prisms, pyramids, and other 3- dimensional figures Identify and classify acute, right, obtuse, and straight angles Measure and construct angles up to 90º, using a protractor Compare grid systems commonly used on maps Locate an object using the cardinal directions and a coordinate system Measurement strand: Choose appropriate standard unit to measure length, height, width, and distance Convert centimetres <- > metres <- > kilometres Find the perimeter and area of regular and irregular shapes using formulas Determine the relationship between the height, the area of the base, and the volume of a rectangular prism, and turn it into a formula Determine the relationship between capacity and volume Select the most appropriate standard unit to measure mass Read time using analogue and digital clocks, to the nearest one second Solve problems involving the relationship between a 12- hour clock and a 24- hour clock Estimate and determine elapsed time expressing the durations of events Measure and record temperatures to freezing and below

18 Data handling strand: Collect data by conducting a survey or an experiment and display concrete and continuous data in charts, tables, and graphs Distinguish between discrete data and continuous data Read, interpret, and draw conclusions from data presented in charts, tables, and graphs and describe whether the methods of collection were appropriate. Describe the shape of the data set across its range of values, comparing similarities and differences Calculate mode, median, mean and range Determine and represent all the possible outcomes in a simple probability experiment Pose simple probability problems and solve them by conducting probability experiments and selecting appropriate methods of recording the results

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