Gr. 5 Math Learning Goals

Transformational Geometry Learning Goals

-describe position on a grid

-apply translations, reflections and rotations

-pose and solve problems and transformations

-identify congruent figures

-construct figures with one line of symmetry

-explore tiling patterns and tessellations


Key Words

coordinate systems-

symmetrical-

tiling pattern-

tessellation-

tessellate-



Geometry Learning Goals:

-sort and name polygons by sides and angles

-measure, name and construct angles

-construct triangles, given side and angle measures

-identify and construct nets of solids


Geometry Key Words:

Right angle-  two lines that meet in a square corner make a right angle.   A right angle measures 90 degrees.

Acute angle-  an angle that measures less than 90 degrees

Obtuse angle-  an angle measuring between(more than) 90 degrees and less than 180 degrees.

Polygon-  a closed figure with three or more straight sides.  We name a polygon by the number of sides.  For example:  a five sided polygon is a pentagon

Equilateral triangle-  a triangle with all sides equal

Isosceles triangle-  a triangle with two sides equal

Scalene triangle-  a triangle with no sides equal

Acute triangle-  a triangle with all sides less than 90 degrees

Right triangle-  a triangle with one 90 degree angle

Obtuse triangle-  a triangle with one angle greater than 90 degrees and less than 180 degrees

Perpendicular-  two lines that intersect at a right angle are perpendicular

Regular polygon-  a regular polygon has all sides equal and all angles equal.   

Irregular polygon-  a polygon that does not have all sides equal or all angles equal

Net-  an arrangement that shows all the faces of a solid, joined in one place.  It can be folded to form a solid.



Data Management Learning Goals:

- interpret and evaluate data in tables and graphs

-draw labelled graphs by hand and with a computer

-recognize accuracy or bias in tables and graphs

-examine how data were collected and if they are reasonable

- find the mean and the mode of a set of data

-predict the results of a survey

-design and conduct a survey

Key Words:

-range        -mean            -average

-mode        -intervals        -line graph

-sample         -bias



Whole Number Learning Goals:


-recognize and read numbers from 1 to 999 999

-read and write numbers in standard form, expanded form and written form

-compare and order numbers

-use place value to represent numbers

-count by 11s and 12s

-estimate sums, differences, products and quotients 

-add, subtract and multiply numbers mentally

-add and subtract 4-digit numbers

-pose and solve problems using whole numbers

-solve problems with more than one step


Key Terms:  compensation













Probability Learning Goals

-use the language of probability

-conduct experiments

-predict the results of experiments

-draw tree diagrams

-compare actual results with predicted results

-use probability to solve and pose problems


Key Words:

-equally probable -improbable -prediction

-probable -probability -outcome

-tree diagram


Whole Number Learning Goals:

-count by 11s and 12s

-estimate sums, differences, products and quotients 

-add, subtract and multiply numbers mentally

-pose and solve problems using whole numbers

-solve problems with more than one step




Data Management Learning Goals:

- interpret and evaluate data in tables and graphs

-draw labelled graphs by hand and with a computer

-recognize accuracy or bias in tables and graphs

-examine how data were collected and if they are reasonable

- find the mean and the mode of a set of data

-predict the results of a survey

-design and conduct a survey

Key Words:

-range        -mean            -average

-mode        -intervals        -line graph

-sample         -bias






Transformational Geometry Learning Goals

-describe position on a grid

-apply translations, reflections and rotations

-pose and solve problems and transformations

-identify congruent figures

-construct figures with one line of symmetry

-explore tiling patterns and tessellations


Key Words

coordinate systems-

symmetrical-

tiling pattern-

tessellation-

tessellate-


Measurement Key Words

second- A small unit of time.  There are 60 in 1 minute; 60s = 1 min

 

SI notation- A standard way to give values for time, date, mass, volume and 


other 

quantities.


speed- A measure of speed of how fast an object is moving.


volume- The amount of space occupied by an object. Volume can be measured in

cubic centimeters (mL). 


cubic centimetre- A unit to measure volume and capacity. A centimeter cube has

 a volume of one cubic centimeter.


displacement- The volume of water moved or displaced by an object put in the

 water. 


milligrams- A unit to measure mass.  We write one milligram as 1 mg.  1000 

mg=1L.


tonnes- A unit used to measure a very large mass.  We write one tonne as 1t.  

1t=1000kg





Patterning Learning Goals:


1.  Find a pattern rule for a number pattern


2.  Identify, extend and create patterns



3.  Describe and model patterns



4.  Use patterns to pose and solve problems


5.  Use patterns in a table to make predictions


Key Words:


Input/Output Machine                    Operation




Measurement Learning Goals for Length, Perimeter and Area:

-estimate and measure linear dimensions
-relate units of linear measure
-use decimals to report linear measures
-explore circumference
-estimate and measure perimeter and area
-develop and use rules for calculating perimeter and area of a rectangle
-solve problems related to length, perimeter and area

Key Words:

-linear dimensions:  Length,width,depth, height, thickness.

-standard units: Metres ,square metres, cubic metres, kilograms, and seconds

-non-standard units : Floor tiles, car lengths, and strides (can be used to measure length).

-circumference : The distance around a circular object.

-scale:The drawing of an object is to scale if the drawing and the object are similar. The drawing is larger or smaller than the object, but    
             still has the same shape.

-formula: A short way to state a rule. Area = length x width is a formula for the area of a rectangle.





Geometry Learning Goals:

-sort and name polygons by sides and angles

-measure, name and construct angles

-construct triangles, given side and angle measures

-identify and construct nets of solids


Geometry Key Words:

Right angle-  two lines that meet in a square corner make a right angle.   A right angle measures 90 degrees.

Acute angle-  an angle that measures less than 90 degrees

Obtuse angle-  an angle measuring between(more than) 90 degrees and less than 180 degrees.

Polygon-  a closed figure with three or more straight sides.  We name a polygon by the number of sides.  For example:  a five sided polygon is a pentagon

Equilateral triangle-  a triangle with all sides equal

Isosceles triangle-  a triangle with two sides equal

Scalene triangle-  a triangle with no sides equal

Acute triangle-  a triangle with all sides less than 90 degrees

Right triangle-  a triangle with one 90 degree angle

Obtuse triangle-  a triangle with one angle greater than 90 degrees and less than 180 degrees

Perpendicular-  two lines that intersect at a right angle are perpendicular

Regular polygon-  a regular polygon has all sides equal and all angles equal.   

Irregular polygon-  a polygon that does not have all sides equal or all angles equal

Net-  an arrangement that shows all the faces of a solid, joined in one place.  It can be folded to form a solid.






Measurement Learning Goals for Length, Perimeter and Area:

-estimate and measure linear dimensions
-relate units of linear measure
-use decimals to report linear measures
-explore circumference
-estimate and measure perimeter and area
-develop and use rules for calculating perimeter and area of a rectangle
-solve problems related to length, perimeter and area

Key Words:

-linear dimensions:  Length,width,depth, height, thickness.

-standard units: Metres ,square metres, cubic metres, kilograms, and seconds

-non-standard units : Floor tiles, car lengths, and strides (can be used to measure length).

-circumference : The distance around a circular object.

-scale:The drawing of an object is to scale if the drawing and the object are similar. The drawing is larger or smaller than the object, but    
             still has the same shape.

-formula: A short way to state a rule. Area = length x width is a formula for the area of a rectangle.






Probability Learning Goals

-use the language of probability

-conduct experiments

-predict the results of experiments

-draw tree diagrams

-compare actual results with predicted results

-use probability to solve and pose problems


Key Words:

-equally probable -improbable -prediction

-probable -probability -outcome

-tree diagram




Measurement Learning Goals:   Length, Perimeter and Area

We will:

-estimate and measure linear dimensions

-estimate and measure perimeter

-estimate and measure area

-relate units of measure

-relate area and perimeter

Key Words:

-decimetre        -linear dimensions        -millimetre        -scale        -square centimetre        -square metre



Multiplication and Division Learning Goals

 We will:

 -skip count

-recall basic multiplication and division facts

-use different strategies to multiply and divide

-relate multiplication and division

-identify patterns in multiplication and division

-multiply by 10, 100, and 1000

-multiply and divide a 2-digit number by a 1-digit number

-pose and solve problems using multiplication and division

 

Key Words:

-multiples                               -multiplication fact                -division sentence

-factor                                     -product                                  -array

-multiplication sentence        -related facts                           -remainder



Geometry Learning Goals(pg. 68)

-construct congruent figures

-measure angles

-sort and classify figures

-identify similar figures

-explore solids

-build skeletons



Key Words

-congruent figures   -diagonal -kite

-parallel lines -protractor -quadrilateral

-skeleton -similar figures -degree

-volume -vertex, vertices


Measurement Learnig Goals:

- relate units of time

-estimate and measure time intervals

-tell time to the nearest minute

-estimate and count money

-make purchases and make change

-estimate and measure capacity

-estimate and measure mass

-compare and order objects by mass

Key Words

-capacity        -century        -decade        -gram        -kilogram

-litre                -millilitre        -millenium    -mass        -elapsed time



Data Management Learning Goals

- read and interpret data in tables, pictographs, bar graphs and circle graphs

-draw pictographs and bar graphs by hand and with a computer

-predict the results of a survey

-conduct a survey


Key Words:

-pictograph    -bar graph    -title        -labels        -axis        -key        

-scale            -range            -circle graph            -trial        -survey




Whole Number Learning Goals:

1.    -recognize and read numbers from 1 to 10 000

2.    -read and write numbers in standard form, expanded form and written form

3.    -use place value to represent numbers

4.    -compare and order numbers

5.    -estimate sums and differences

6.    -add and subtract 3-digit numbers mentally

7.   -add 4-digit numbers

8.   -subtract a 3-digit number from a 4-digit number

9.   -pose and solve problems


Key Words:

standard form- representing a number in normal numeric format     example:   2 389

expanded form-  stretching a number out into separate place values

round-  to find a closer or approximate number, usually to the 10s,100s or 1 000s















Patterning Learning Goals:

1.  Find a pattern rule for a number pattern

2.  Identify, extend and create patterns

3.  Describe and model patterns

4.  Use patterns to pose and solve problems

5.  Use patterns in a table to make predictions


Transformational Geometry Learning Goals

-describe position on a grid

-apply translations, reflections and rotations

-pose and solve problems and transformations

-identify congruent figures

-construct figures with one line of symmetry

-explore tiling patterns and tessellations


Key Words

coordinate systems-

symmetrical-

tiling pattern-

tessellation-

tessellate-

Probability Learning Goals:

-use the language of probability 

-conduct experiments and predict results

-use fractions to describe probability

use tree diagrams to find probabilities

-use probability to pose and solve problems


Probability Key Words:

-outcome:  one result of an event or experiment.  Tossing a coin has two possible outcomes, heads or tails.

-equally likely:  The outcomes of an event that are equally probable.   For example, if you toss a coin it is equally likely that the coin will land heads up as tails up.

-experiment:  In probability, a test or trial used to investigate an idea.

-fair game:  a game where all the players have the same chance of winning

-tree diagram:   A visual representation of all outcomes when there is more than one choice to be made.   

-combination:  A selection of items from different groups to make a smaller group.



Measurement Key Words

second- A small unit of time.  There are 60 in 1 minute; 60s = 1 min

 

SI notation- A standard way to give values for time, date, mass, volume and other quantities.

speed- A measure of speed of how fast an object is moving.

volume- The amount of space occupied by an object. Volume can be measured in cubic centimeters (mL). 

cubic centimetre- A unit to measure volume and capacity. A centimeter cube has a volume of one cubic centimeter.

displacement- The volume of water moved or displaced by an object put in the water. 

milligrams- A unit to measure mass.  We write one milligram as 1 mg.  1000 mg=1L.

tonnes- A unit used to measure a very large mass.  We write one tonne as 1t.  1t=1000kg


Measurement Learning Goals for Length, Perimeter and Area:

-estimate and measure linear dimensions
-relate units of linear measure
-use decimals to report linear measures
-explore circumference
-estimate and measure perimeter and area
-develop and use rules for calculating perimeter and area of a rectangle
-solve problems related to length, perimeter and area

Key Words:

-linear dimensions:  Length,width,depth, height, thickness.

-standard units: Metres ,square metres, cubic metres, kilograms, and seconds

-non-standard units : Floor tiles, car lengths, and strides (can be used to measure length).

-circumference : The distance around a circular object.

-scale:The drawing of an object is to scale if the drawing and the object are similar. The drawing is larger or smaller than the object, but    
             still has the same shape.

-formula: A short way to state a rule. Area = length x width is a formula for the area of a rectangle.