MERIIDAN SCHOOL DISTRICT

MATHEMATICS

SCOPE AND SEQUENCE

 

**PROBLEM SOLVING STRATEGIES THROUGHOUT STRANDS**

  KINDERGARTEN FIRST SECOND
NUMBER SENSE

Counting.
Number recognition 0 to 31.
Count to 100.
Copy 0 to 20.
Write 0 to 10.
1 to 1 correspondence to 31.

graphing.
Solve simple +, minus problems using concrete models.

 Write numberss 0-100.
Count by 2s, 5s, 10s to 100.
Add and subtract to 10 (goal is memorizing).
Even/odd.
Place value 1s, 10s place to 100.
Ordinal through 10.
Fraction identification ½, ¼.
3 Digit addition and subtraction with trading in 1 column.
Count, compare, order to 1,00.0
Place value to 1,000.
Mastery of basic facts 0-18. plus and minus.
Odd & even.
Describe & solve situations
With simple multiplication and division.
MEASUREMENT Compare and contrasting concrete objects:
Length
Weight
Graphing
 Measurement First.
Time: 1 hr.
$ counting penny, nickel, dime, quarter up to $1.00.
Create a graph.
Elements of a calendar.
Compare units of weight, measure, length and height capacity.
 Time: hour, ½ hr., ¼ hr., 5 min., PM.
$: Penny, nickel, dime, quarter to $1.00.
Ruler: Standard/Metric differences in., ft, yd, meters, centimeters, km.
Elements of a calendar.
Appropriate measuring using standard and metric.
Estimating measurement.
GEOMETRIC SENSE Name and Recognize shapes: circle, square, triangle, and rectangle.

Recognize and continue
AB patterning.

Sort by 3 attributes.
Compare, describe and classify 2nd and 3rd geometric figures.

 Make circle, square, triangle, and rectangle.
Name and sort cube, 2D and 3D cylinder, sphere.
Patterning, beyond AB.
 Relate shapes-Plain and 3-D.
Recognize congruent shapes.
Combine new shapes.
Extend patterning to applications.

PROBABILITY AND STATISTICS Discriminate between impossible , probable and certain events in a real world content.
Answer questions by collecting and sorting data.
 Estimate with a reasonable guess.
What comes next in a pattern.
Identify the likelihood of real world events.
Use bar graphs to organize and interpret data.
 Use a graph, Venn & Tables to make predictions.
Patterning strategies: surveys, tallies.
ALGEBRAIC SENSE Describe and create patterns. Patterning beyond AB.
Sequencing.
Number families.
 Missing addend.
Missing subtrahend.
Equality/inequality
>, <,=.

 

  THIRD FOURTH FIFTH
NUMBER SENSE Place value – 1s, 10s, 100s, 1,000,10,000.
Number sequence.
Rounding, 10ths, 100’s
>,<,=.
+,- through 18.
x through 9.
Carry, borrow.
Divide by 1-digit.
Fractions as equal parts.
 Basic Facts
Add and subtract 0-18 -- 100%accuracy, 4 min.
Multiply and divide 0-9 --100% accuracy, 4 min.
Subtract with regrouping to 10,000
x3 digit x2 digit.
$ and decimals to 100s
Place value hundredths to millions.
Rounding $ estimation to nearest place 10s, 100s
Understanding voc. Relevant to number sense.
Divide by single digit with remainder.
compare & order simple common fractions.
 Use models to describe the meaning of fractions, decimals, and percents.
Use models to describe prime and composite numbers, factors and multiples, and determine divisibility by 2,5, and 10.
Use objects, pictures, and symbols to illustrate equivalent ratios.
Makes comparisons between two part: part relationships.
Use models to demonstrate and explain the meaning of multiplication of a fraction by a whole number and a fraction by a fraction.
MEASUREMENT Perimeter, square units area.
Standard in., ft., yd. (1/2 in.).
Metric m, cm, km.
Tell time to minute.
Count and make change.
Measure weight/mass, temperature.

Measures to nearest 1/8th an inch.

U.S. standard
Measure to nearest mm.
Calculating perimeter, area, volume.
Capacity of liquid measurement: cups, pints, quarts, gallons, mm, liters, kilos.
Weight-ounces, tons.
Temperature, Fahrenheit, Celsius recognize.
Convert within the same system, choosing appropriate tool for situation.

Standard & metric conversion understand vocabulary with each system.
Relationship of units with each system for linear measurement. Miles/kilometers.
GEOMETRIC SENSE Identify symmetrical and congruent figures.
Identifies point, lines, segments, and rays.
 Name& classify polygons by # of sides & vertices, right.
Identify lines vertical, horizontal, parallel, perpendicular, intersecting.
Angles: acute & obtuse.
Diameter, circumference & radius.
Use coordinates, plane to fine ordered pairs.
Uses estimation & or choose reasonable Unit of measure.
 Describe the location of points on coordinate grids in the first quadrant.
Identify simple transformations using combinations of translations, reflections, or rotations.
Construct angles using tools such as a compass, straightedge, and/or transparent mirror.
PROBABILITY AND STATISTICS Use ordered pair to graph.
Conduct experiments to determine likelihood of events.
 Identify & uses range, median, mode or average mean when describing data.
Identify predications based on different data.
Identify trends.
Uses data from graphs, bar, line.
Pictograph, Tally, charts to examine data.
Predicts outcomes of events.
Checks validity of prediction by comparing results of experiment.
Identifies predictions based on data ass different from predictions based on opinion.
Identify and use median, mode.
Organize and display data using frequency tables.
Identify outliers in a set of data.
Describe mean, median, mode, and range for simple data.
ALGEBRAIC SENSE Writes an equation to solve a problem.
Identifies and uses patterns & rules to solve problems.
Finds missing addends & factors in equation.
 Compares < > +.
Sorts and classifies patterns based on assigned attributes.
Recognizes & applies commutative, associative, and distributive properties.
Uses Venn diagrams to compare sets.
Use variables to describe patterns and sequences.
Translate problem-solving situations into simple mathematical equations containing a single variable.

 

  SIXTH SEVENTH EIGHTH
NUMBER SENSE Add, subtract, multiply and divide integers. Introduce add/subtraction of fractions and decimals. Computation of whole numbers, fractions, decimals. Introduce absolute value. Computation of rational and irrational numbers, absolute value. Introduction of vectors.
MEASUREMENT Place Value, prime and composite numbers, patterns. Prime and composite numbers, absolute value, order of operations. Number patterns, order of operations, prime factorization, exponents, square and square roots.
GEOMETRIC SENSE Intro to area, perimeter, radius, circumference, volume, metric and standard units of measurement. Surface area, volume, characteristics and applications of circles. Use of Metric measurement. Surface area and volume of regular and irregular polygons, use of metric measurements, measurement in terms of variable.
PROBABILITY AND STATISTICS Exploration of triangles, intro to polygons, complementary & supplementary angles. Intro to solids, circles, transformations, reflections, geometric constructions Review and extended instruction of 7th grade focus. Right triangle relationships. Intro to trigonometric functions.
ALGEBRAIC SENSE Introduction to concept of probability, recording of data, writing as ratio. Predict simple events using one die, variety of presentation forms. Prediction of simple and multistage events. Collection of data and representation using Excel.