Grade 5 Math Long Range Plan (2014-2015)
Northlea PS
Date / Sep 2-Oct 10 / Oct 14-
Nov 21 / Nov 24-
Dec 19 / Jan 5-
Jan 30 / Feb 2-
Mar 6 / Mar 9-
April 17 / April 20 -
May 15 / May 19-
June 4 / June 8-
June 24
6 weeks / 6 weeks / 4.5 weeks / 3 weeks / 5.5 weeks / 2 weeks / 7 weeks / 3 weeks / 6 weeks
Strand / NS / NS / P / M, G & S / M, G & S / NS / P & A / D& M / DM & P / M / REVIEW / Review
Big Ideas / Adding & Subtracting
(Place value, decimals, fractions)
(4 weeks) / Multiplying & Dividing
(Place value)
(Variables, expressions & equations)
(4 weeks) / Patterning, Variables, Expressions & Equations
(Multiplication)
(6 weeks) / Length, Area & Perimeter;
2D Geometry
(4 weeks) / Grids & Transformations
(Patterning)
(2.5 weeks) / Fractions & Decimals
(Money)
(5 weeks) / 3D Geometry; Volume, Capacity & Mass
(Multiplication)
(3.5 weeks) / Data Management
(4 weeks) / Probability
(Fractions & Decimals) (Data Management)
(3.5 weeks) / Time & Temperature
Assessment
(3rd week)
Time & Temperature (All year long)
Specific Expectations / Adding & Subtracting
- Solve problems involving adding/subtracting whole numbers using a variety of mental strategies
- Add and subtract decimal numbers to hundredths, including money amounts
- Use estimation when solving problems involving adding and subtracting whole numbers to judge the reasonableness of a solution
- Represent, compare and order whole numbers and decimal numbers from 0.01 to 100 000
- Demonstrate an understanding of place value in whole and decimal numbers
- Read / print in words whole numbers to ten thousand, with meaningful contexts
- Determine missing number in equations involving adding or subtracting and 1 and 2 digit numbers, using a variety of tools and strategies
- Solve problems arising from real life situations that relate to the magnitude of whole numbers up to 100 000
- Solve problems involving the multiplication of whole numbers using a variety of mental strategies
- multiply 2-digit whole numbers by the same, using estimation, student-generated algorithms, standard algorithms
- divide three digit whole numbers by one digit whole numbers, using concrete materials, estimation, stud. & std. algorithms
- Use estimation when solving problems involving multiplication and division of whole numbers to judge reasonableness of a solution
* Patterning (see far left, September) / Length, Area, Perimeter
- Estimate and measure the perimeter and area of irregular polygons
- Select and justify the most appropriate std unit for length, width, height and distance, & to measure perimeter of various polygons
- Solve problems requiring conversion from m to cm and km to m
- Create, through inquiry using a variety of tools and strategies, 2D shapes with the same perimeter or area
- Determine through investigation using a variety of tools, the relationships between the length and width of a rectangle and its size and perimeter; generalize to develop formulae
- Solve problems requiring estimation and calculation of perimeters and areas of rectangles
- Distinguish among polygons, regular polygons, other 2D shapes
- Identify /classify acute, right and straight angles
- Measure and construct angles up to 90°, using a protractor
- Identify triangles and classify them by angle and side properties
- Construct triangles, with a variety of tools, given angles and side lengths
- Locate an object using the cardinal directions and a coordinate system
- Compare grid systems commonly used on maps
- Identify, perform and describe transformations, using a variety of tools
- Create and analyse designs made by translating and/or reflecting a shape using a variety of objects
- Represent, compare, and order fractional amounts with like denominators, including proper and improper fractions and mixed numbers, with var. tools
- Demonstrate and explain concept of equivalent fractions, with concrete materials
- Demonstrate and explain equivalent representations of decimal numbers, using concrete materials
- Read and write money amounts to $1000
- Count forward by 100ths from any decimal expressed to 2 decimal places, using concrete items and number lines
- multiply decimal numbers by 10, 100, 1000 and 10 000 and divide decimal numbers by 10, 100, using mental strategies
- describe multiplicative relationships between quantities using simple fractions and decimals
- determine and explain the relationships between fractions and decimals, by various means of representation
- Distinguish among prisms, right prisms, pyramids, and other three-dimensional figures;
- Identify prisms and pyramids from their nets
- Construct nets of prisms and pyramids using a variety of tools
- Determine, through investigation, the relationship between capacity and volume of an object with the amount of liquid it can contain or displace
- Determine, through investigation, using stacked congruent, rectangular layers of concrete materials, the relationship between the height, area of base and volume of a rectangular prism to develop the formula
- Select and justify the most appropriate standard unit to measure mass
- Distinguish discrete and continuous data
- Collect data using survey or equipment to do with self, environment, school or community issues, record measurements and observations
- Collect and organize discrete or continuous primary and secondary data and display in charts, tables and graphs with appropriate titles, labels and scales suiting the range and distribution of data, using a variety of tools
- Demonstrate understanding that data sets can be samples of larger populations
- Describe through investigation how a data set is collected and explain when methods are appropriate
- Read, interpret and draw conclusions from primary and secondary data, presented in charts, tables and graphs
- Calculate the mean for a small set of data and use it to describe the shape of the data set across its range of values, using charts, tables and graphs
Probability
- Determine and represent all possible outcomes in a simple probability experiment, using systematic tests and area models
- represent, using a common fraction, the probability an event will occur in simple games and probability experiments.
- pose and solve simple probability problems and solve them by conducting probability experiments and selecting appropriate results recording methods
- Estimate, measure and represent time intervals to the nearest second
- Estimate and measure elapsed time, with and without a time line, given the durations of events in minutes, hours, days, weeks, months or years
- Measure and record temperatures to determine and represent temperature changes over time
- Solve problems involving the relationship between 12 and 24 hour clocks.
Patterning (October)
- Create, identify, and extend numeric and
- Build a model to represent a number pattern presented in a table of values that shows the term number and the term;
- Make a table of values for a pattern that is generated by adding or subtracting a number (i.e. a constant) to get the next term, or by multiplying or dividing by a constant to get the next term, given either the sequence or the pattern rule in words
- Demonstrate an understanding of simple multiplicative relationships involving whole number rates, through investigation, concrete materials and drawings (multi-strand expectation)
- Demonstrate an understanding of simple multiplicative relationships
- Demonstrate, through investigation, an understanding of variables as changing quantities, given equations with variables describing simple rates
- Demonstrate, through investigation, an understanding of variables as unknown quantities represented by a letter or other symbol
NS: Number Sense; DMP: Data Management & Probability; M: Measurement; GS: Geometry and Spatial Sense; PA: Patterning and Algebra.Last updated: May 13, 2014