PRE-KINDERGARTEN and KINDERGARTEN

By the end of Kindergarten, students will be able to:

Knowledge of Algebra, Patterns, and Functions

· Recognize and duplicate simple patterns.

· Sort by a given attribute (shape, size, color, etc.)

· Recognize, describe, and identify common shapes, including circle, triangle, and rectangle

· Find common shapes (circle, triangle, and rectangle) in the environment.

· Use and respond to directional and positional words such as up, down, over, under, top, bottom, inside, outside, in front, and behind.

Knowledge of Measurements

· Describe objects according to size, length, height, and weight.

· Participate in activities using non-standard measurements for length.

· Demonstrate an understanding of concepts of time such as day, night, morning, and afternoon.

· Participate in making comparisons between several objects based on length and weight.

Knowledge of Statistics

· Pose informational questions.

· Participate in collecting and organizing data.

· Work in a group to organize and display data concretely on a graph.

· Participate in making predictions based on direct experience.

Knowledge of Number Relationships and Computation

· Use concrete objects to model single-digit numbers.

· Read and count 0-10 with whole numbers.

· Recognize numerals 0-10 in meaningful contexts.

· Use ordinal numbers, first and second.

· Create sets with more (less) and equal numbers by matching.

Process of Problem Solving

· Apply mathematical concepts, processes, and skills to solve problems

Process of Communication

· Organize their mathematical thinking in order to use information and present ideas with words, visual displays, and technology.

Process of Reasoning

· Reason mathematically and to evaluate mathematical situations.

Process of Connections

· Relate and apply mathematics within the discipline, to other content areas, and to daily life.

PREPARATORIA

By the end of Preparatoria, students will be able to:

Unit 1: Patterns and Classification

· Describe the location of an object using directional and position words.

· Identify, describe, extend, and create patterns using concrete objects.

· Organize and display data using bar graphs and pictographs as a class.

· Sort objects and explain the sorting rule.

Unit 2: Exploring Numbers

· Count through and beyond 10 to identify the number of objects in a set.

· Identify and create sets of objects with more, less, or equal amounts.

· Recognize odd and even numbers of objects.

· Identify the position of an object using the numbers first through fifth.

Unit 3: Measurement and Geometry

· Identify and describe measurable attributes such as length and weight.

· Measure length using direct comparison and non-standard units.

· Recognize and describe basic two- and three-dimensional shapes including circle,

triangle, rectangle, pyramid, cube, and cylinder.

· Sequence events.

Unit 4: Combining and Separating

· Recognize, write, and use whole numbers through 10 in meaningful contexts.

· Count forward to 31 and backward from 10.

· Estimate quantities less than 20.

· Model addition and subtraction using concrete objects.

· Solve story problems using a variety of strategies.

· Name and identify the value of centavos (5, 10, 20, 50), and lempiras (1,2).

Unit 5: Preparatoria Review

· Patterns and Classification

· Exploring Numbers

· Measurement and Geometry

· Combining and Separating

· Preparing for First Grade

GRADE 1

By the end of Grade 1, students will be able to:

Unit 1

· Count, using a variety of strategies, to identify the number of objects in a set.

· Identify numbers that are one more than, one less than, and between two numbers.

· Compare numbers using counting strategies.

· Add and subtract numbers using counting strategies.

· Recognize, describe, and extend repeating patterns.

Unit 2

· Compare and order the number of objects in sets.

· Develop strategies to master addition and subtraction facts.

· Write and solve number sentences for story problems involving addition and subtraction.

· Add and subtract 1- and 2-digit numbers without regrouping.

· Solve problems using nonstandard measurement.

· Select appropriate tools to measure length, time, and weight.

· Estimate and measure length in inches.

Unit 3

· Master addition and subtraction facts with sums through 10.

· Gather and organize data using tallies, bar graphs, and pictographs.

· Interpret data from bar graphs and pictographs.

Unit 4

· Identify and describe attributes of 2-dimensional and 3-dimensional figures.

· Identify shapes that appear to have symmetry.

· Identify shapes that appear congruent.

· Determine the value of a set of coins through L1.00.

· Solve problems involving adding and subtracting money through one lempira.

Unit 5

· Estimate sums and differences.

· Represent ¼ and ½ with symbols and pictures.

· Estimate then measure length, width, capacity using nonstandard units.

GRADE 2

By the end of Grade 2, students will be able to:

Unit 1

· Read, write, model, and compare whole numbers less than 1,000.

· Identify ten more than and ten less than a number.

· Describe numbers as odd or even.

· Extend, create, and identify a rule for increasing numerical patterns.

· Collect, organize, and display data in more than one way.

· Create and interpret tallies, bar graphs, and pictographs.

Unit 2

· Describe and identify characteristics of plane and solid figures.

· Identify and model symmetry with concrete materials and drawings.

· Identify and model congruence with concrete materials and drawings.

Unit 3

· Add and subtract two- and three-digit numbers using a variety of strategies.

· Solve problems involving addition and subtraction using models and number sentences.

· Identify missing numbers in number sentences.

· Demonstrate mastery of basic addition and subtraction facts for sums through 18.

· Solve problems involving money through twenty lempiras.

Unit 4

· Model multiplication and division using concrete objects and drawings.

· Solve problems involving multiplication and division using models and number sentences.

· Recognize and describe relationships between operations.

· Estimate to check the reasonableness of computation results.

Unit 5

· Model and write numerals for fractional parts of regions and sets.

· Identify and describe measurable attributes including area, volume, and temperature.

· Estimate and measure length, weight, temperature, time, and capacity.

· Solve problems using nonstandard and standard measurement units and concepts.

GRADE 3

By the end of Grade 3, students will be able to:

Unit 1

· Represent three- and four-digit numbers in a variety of ways.

· Subtract two- and three-digit numbers with regrouping.

· Estimate sums and differences of numbers less than 1,000.

· Gather, organize, and display data using appropriate scales.

· Interpret, compare, and make predictions based on data from tables, pictographs, and bar graphs.

· Solve problems by identifying and analyzing a variety of numeric patterns.

· Identify and describe a trend.

Unit 2

· Estimate and /or measure length to solve problems.

· Estimate and count to find the area and perimeter of figures.

· Solve problems involving the area and perimeter of figures.

· Choose appropriate measurement units and tools.

Unit 3

· Demonstrate mastery of multiplication and division facts for 0, 1, 2, 5, and 10.

· Solve multiplication and division problems using a variety of strategies.

· Solve problems using estimation techniques and number properties.

· Estimate and determine elapsed time using clocks and calendars.

· Solve problems involving volume, weight, capacity, temperature, or time.

Unit 4

· Identify, describe, and classify two- and three-dimensional shapes.

· Identify angles and describe how they compare to right angles.

· Draw geometric figures using tools.

· Recognize three-dimensional objects from different perspectives.

· Identify and describe symmetry and congruence of geometric figures.

· Describe and represent slides, flips, and turns using pictures and objects.

Unit 5

· Multiply and divide multi-digit numbers by one-digit numbers.

· Locate whole numbers and fractions with denominators of 2, 3, and 4 on a number line.

· Solve problems involving money through one hundred dollars.

· List possible outcomes for an event and describe the likelihood of an event.

· Solve problems involving numeric equations or inequalities.

GRADE 4

By the end of Grade 4, students will be able to:

Unit 1

· Recognize and apply place value patterns in numbers through millions.

· Organize, display, and analyze data using line plots, line graphs, and circle graphs.

· Determine and distinguish among mean, median, mode, and range.

· Classify angles as acute, obtuse, or right.

· Identify and describe the sides, angles, edges, vertices, and faces of solid figures.

· Draw circles, triangles, and quadrilaterals, given their dimensions.

· Identify, draw, and describe points, lines, line segments, and rays.

Unit 2

· Demonstrate mastery of basic multiplication and division fact families.

· Identify and apply multiples and factors of numbers.

· Solve for the unknown or variable in an equation.

· Generalize a pattern by stating a rule.

· Write and simplify numeric expressions using number properties.

Unit 3

· Compare and order fractions and mixed numbers.

· Compare decimals to the hundredths using numerals, pictures, and objects.

· Describe the relationship between fractions and decimals.

· Add and subtract fractional numbers with like denominators using models and pictures.

· Add and subtract decimals using models and pictures.

· Multiply fractions and whole numbers using models and pictures.

· Solve problems involving estimation with fractions and decimals.

· List all possible outcomes for a simple probability situation.

· Express the probability of an event with equally likely outcomes as a fraction.

Unit 4

· Multiply any whole number by a 2- or 3-digit factor.

· Divide any whole number by 1-digit divisor.

· Estimate products to determine the reasonableness of answers.

· Estimate and determine elapsed time.

Unit 5

· Identify translations, reflections, and rotations of figures.

· Select appropriate attributes and use standard units to solve measurement problems.

· Solve problems involving area, perimeter, volume, and elapsed time.

· Develop and use formulas to solve problems involving perimeter and area of rectangles.

· Identify situations that are represented by negative numbers.

GRADE 5

By the end of Grade 5, students will be able to:

ALL YEAR

· Recognize and represent functional relationships using graphs, tables, and rules.

· Compare and order integers on a number line.

· Write and evaluate simple algebraic expressions.

· Use mathematical properties to solve problems.

Unit 1

· Identify and apply prime and composite numbers less than 100 and rules of divisibility.

· Determine and apply the greatest common factor and least common multiple of numbers.

· Describe the probability of an event using a fraction or a ratio.

· Make predictions based on probability experiments.

Unit 2

· Identify, describe, compare, and classify 2- and 3- dimensional figures using relevant properties.

· Measure angles and identify their parts.

· Describe relationships among the radius, diameter, center, and circumference of a circle.

· Draw geometric figures using tools and technology.

Unit 3

· Compute with whole numbers.

· Translate among fractions, decimals, and percents.

· Compare and order decimals to the thousandths place.

· Solve problems with fractions, decimals, and percents using a variety of strategies.

Unit 4

· Organize data using a variety of graphic displays.

· Analyze and interpret graphs including stem and leaf plots.

· Compute and compare the mean, median, mode, and range of data sets.

Unit 5

· Select appropriate measurement attributes, tools, and units to solve problems.

· Estimate and determine the perimeter and area of a closed figure.

· Develop and use formulas to determine the volume of a rectangular prism.