Development Program
The Beverly Institute
Early
| 1st - 5th Grade |
Mathematics
Standard Knowledge of Algebra, Patterns, and Functions
Standard Knowledge of Geometry
Standard Knowledge of Measurement
Standard Knowledge of Statistics
Standard Knowledge of Probability
Standard Knowledge of Number Relationships and Computation/Arithmetic
Standard Processes of Mathematics
Course Assessment and Participation
Besides engaging students in challenging curriculum, The Beverly Institute guides students to reflect on their
learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of
self-checks, practice lessons, multiple choice questions, writing assignments, projects, essays, oral
assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of
assessments built into a course, as well as through contact with the student in other venues.
- Understand patterns, relations, and functions.
- Represent and analyze mathematical situations and structures using algebraic symbols.
- Use mathematical models to represent and understand quantitative relationships.
- Analyze change in various contexts.
- Integers and basic equations
Standard Knowledge of Geometry
- Analyze characteristics and properties of two and three-dimensional geometric shapes and develop
mathematical arguments about geometric relationships. - Specify locations and describe spatial relationships using coordinate geometry and other
representational systems. - Apply transformations and use symmetry to analyze mathematical situations. Use visualization, spatial
reasoning, and geometric modeling to solve problems.
Standard Knowledge of Measurement
- Understand measurable attributes of objects and the units, systems, and processes of measurement.
- Apply appropriate techniques, tools, and formulas to determine measurements.
Standard Knowledge of Statistics
- Formulate questions that can be addressed with data and collect, organize, and display relevant data
to answer them. - Select and use appropriate statistical methods to analyze data.
- Develop and evaluate inferences and predictions that are based on data.
Standard Knowledge of Probability
- Understand and apply basic concepts of probability.
Standard Knowledge of Number Relationships and Computation/Arithmetic
- Understand numbers, ways of representing numbers, relationships among numbers, and number
systems. - Understand meanings of operations and how they relate to one another.
- Compute fluently and make reasonable estimates.
Standard Processes of Mathematics
- Build new mathematical knowledge through problem solving.
- Solve problems that arise in mathematics and in other contexts
Course Assessment and Participation
Besides engaging students in challenging curriculum, The Beverly Institute guides students to reflect on their
learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of
self-checks, practice lessons, multiple choice questions, writing assignments, projects, essays, oral
assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of
assessments built into a course, as well as through contact with the student in other venues.
Students will be able to but not limited to:
Elementary Mathematics Curriculum
Number sense is fundamental to all mathematical learning, and
teachers begin to build number sense concepts in pre-kindergarten
and kindergarten. Number sense is built upon and reinforced in all
grades. Teaching number sense provides many opportunities for
students to recognize relationships between numbers, identify
questions, and learn about operations. Conceptual understanding is
built through concrete experience in which children use
manipulative's. Students must first develop a concrete
understanding of number by building, exploring, and making
discoveries.
Elementary Mathematics Curriculum
Number sense is fundamental to all mathematical learning, and
teachers begin to build number sense concepts in pre-kindergarten
and kindergarten. Number sense is built upon and reinforced in all
grades. Teaching number sense provides many opportunities for
students to recognize relationships between numbers, identify
questions, and learn about operations. Conceptual understanding is
built through concrete experience in which children use
manipulative's. Students must first develop a concrete
understanding of number by building, exploring, and making
discoveries.
| Click on course number for complete Benchmark listing. Grade 1: 5012030 MATH GRADE 1 Grade 2: 5012040 MATH GRADE 2 Grade 3: 5012050 MATH GRADE 3 Grade 4: 5012060 MATH GRADE 4 Grade 5: 5012070 MATH GRADE 5 |
Number Sense includes but not limited to: Addition, Subtraction, Multiplication, Division, Decimals, Fractions, and
Percentages.
Emphasis on computational fluency is also an essential component of math instruction. Computational fluency is
defined as having and using efficient and accurate methods for computing. Students should be able to perform
computations in different ways, including mental calculations, estimation, and paper-and-pencil calculations using
mathematically-sound algorithms. All students should use calculators at appropriate times (after they have developed
their concrete understanding and are learning to use the algorithms). Computational fluency develops in tandem with
understanding at all grade levels.
Percentages.
Emphasis on computational fluency is also an essential component of math instruction. Computational fluency is
defined as having and using efficient and accurate methods for computing. Students should be able to perform
computations in different ways, including mental calculations, estimation, and paper-and-pencil calculations using
mathematically-sound algorithms. All students should use calculators at appropriate times (after they have developed
their concrete understanding and are learning to use the algorithms). Computational fluency develops in tandem with
understanding at all grade levels.